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Finding the Fourth Proportional to 106,412.46, 159,642.18 and 31,538.58

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Solution

The fourth proportional to 106,412.46, 159,642.18 and 31,538.58 is: 47,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.46 : 159,642.18 = 31,538.58 : x
  2. Step 2: Convert to fraction form
    106,412.46/159,642.18 = 31,538.58/x
  3. Step 3: Cross multiply
    106,412.46x = 159,642.18 × 31,538.58
  4. Step 4: Simplify right side
    106,412.46x = 5,034,887,665.30
  5. Step 5: Solve for x
    x = 5,034,887,665.30/106,412.46
  6. Step 6: Final answer
    x = 47,314.83

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