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Finding the Fourth Proportional to 102,098.34, 153,147.51 and 31,983.14

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Solution

The fourth proportional to 102,098.34, 153,147.51 and 31,983.14 is: 47,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.34 : 153,147.51 = 31,983.14 : x
  2. Step 2: Convert to fraction form
    102,098.34/153,147.51 = 31,983.14/x
  3. Step 3: Cross multiply
    102,098.34x = 153,147.51 × 31,983.14
  4. Step 4: Simplify right side
    102,098.34x = 4,898,138,252.98
  5. Step 5: Solve for x
    x = 4,898,138,252.98/102,098.34
  6. Step 6: Final answer
    x = 47,974.71

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