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Finding the Fourth Proportional to 82,406.33, 123,614.31 and 31,805.61

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Solution

The fourth proportional to 82,406.33, 123,614.31 and 31,805.61 is: 47,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.33 : 123,614.31 = 31,805.61 : x
  2. Step 2: Convert to fraction form
    82,406.33/123,614.31 = 31,805.61/x
  3. Step 3: Cross multiply
    82,406.33x = 123,614.31 × 31,805.61
  4. Step 4: Simplify right side
    82,406.33x = 3,931,628,534.28
  5. Step 5: Solve for x
    x = 3,931,628,534.28/82,406.33
  6. Step 6: Final answer
    x = 47,710.27

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