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Finding the Fourth Proportional to 102,508.98, 153,785.75 and 31,431.89

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Solution

The fourth proportional to 102,508.98, 153,785.75 and 31,431.89 is: 47,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.98 : 153,785.75 = 31,431.89 : x
  2. Step 2: Convert to fraction form
    102,508.98/153,785.75 = 31,431.89/x
  3. Step 3: Cross multiply
    102,508.98x = 153,785.75 × 31,431.89
  4. Step 4: Simplify right side
    102,508.98x = 4,833,775,851.48
  5. Step 5: Solve for x
    x = 4,833,775,851.48/102,508.98
  6. Step 6: Final answer
    x = 47,154.66

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