Thomas currently earns $$78,000$ per year and wants to replace $80\%$ of his annual income at the beginning of each year during retirement. He expects to receive $$17,000$ in today's dollar terms from Social Security at the the beginning of each year during retirement. Thomas is currently $32,$ wants to retire at $67$ and expects to live till $88.$ Assume that Thomas can earn $9\mathrm{.}5\%$ return on his investments and inflation to be $3\mathrm{.}5\%.$ Thomas expects his salary to increase with inflation every year. Calculate the amount he should save at the end of every year to accumulate the capital needed at $67?$ Assume Thomas presently has $$50,000$ in current retirement savings.