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Finding the Fourth Proportional to 68,538.20, 102,758.70 and 31,116.20

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Solution

The fourth proportional to 68,538.20, 102,758.70 and 31,116.20 is: 46,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.20 : 102,758.70 = 31,116.20 : x
  2. Step 2: Convert to fraction form
    68,538.20/102,758.70 = 31,116.20/x
  3. Step 3: Cross multiply
    68,538.20x = 102,758.70 × 31,116.20
  4. Step 4: Simplify right side
    68,538.20x = 3,197,460,260.94
  5. Step 5: Solve for x
    x = 3,197,460,260.94/68,538.20
  6. Step 6: Final answer
    x = 46,652.24

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