Within one hundred eighty days from the effective date of the Eastern Sandoval County Arroyo Flood Control Act, a written, signed and acknowledged petition against the acquiring of the flood control system provided for in Section 19 [72-20-19 N.M. Stat. Ann.] of that act may be filed with the board by the owners of property of at least thirty percent of the value of the property provided to be taxed in that act, based upon the assessed valuation of that property for general taxes for the year preceding the year of making the petition. If there is real estate in the authority that has not been separately assessed by the taxing authorities, the board shall value such real estate for the purpose of such petition on the same basis of valuation as other real estate similarly situated that has been separately assessed. The board shall, as soon as possible, examine such petition, if made, and canvass and pass upon and determine its sufficiency, and its action shall be final. If the petition is found to contain the names of the owners of property of thirty percent of the total valuation of the property to be taxed under the Eastern Sandoval County Arroyo Flood Control Act and is found to be sufficient, then the flood control system shall not be acquired; provided that no action under the terms of that act shall be delayed during the period of one hundred eighty days, except that no bonds shall be issued during that time.