$(25$ pts$)$ The $137,000$ sf PA$$S building had an estimated construction cost of $$35$ million when it

was completed at the end of December $2015.$ The national construction cost index for $2015$

was $113\mathrm{.}9$; the index at the end for $2023$ was $182\mathrm{.}4.$ What is the estimated construction cost,

to four significant figures, of a similar $125,000$ sf building at the end of December $2023?$ Use

the annual inflation rates from the figure below.

Chart: United States Annual Inflation Rates $(2014$ to $2024)$