Marco is $47$ years old and plans to retire at age $74.$ He wants you to assume he

will be retired for $22$ years before he dies. Assume Marco needs $$71,630$ at the

beginning of the first year of retirement. Use an investment return of $7$ percent and

an inflation assumption of $3$ percent. What amount of money will he need to have

saved at the beginning of retirement? $($Round any interest rate calculations to $4$

decimal places e$.$g$.\mathrm{.}0125$ for $1\mathrm{.}25\%$ and round the final answer to $2$ decimal

places$)$