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Finding the Fourth Proportional to 106,566.36, 159,871.14 and 31,687.80

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Solution

The fourth proportional to 106,566.36, 159,871.14 and 31,687.80 is: 47,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566.36 : 159,871.14 = 31,687.80 : x
  2. Step 2: Convert to fraction form
    106,566.36/159,871.14 = 31,687.80/x
  3. Step 3: Cross multiply
    106,566.36x = 159,871.14 × 31,687.80
  4. Step 4: Simplify right side
    106,566.36x = 5,065,964,710.09
  5. Step 5: Solve for x
    x = 5,065,964,710.09/106,566.36
  6. Step 6: Final answer
    x = 47,538.12

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