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Finding the Fourth Proportional to 102,111.85, 153,167.84 and 31,996.63

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Solution

The fourth proportional to 102,111.85, 153,167.84 and 31,996.63 is: 47,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,111.85 : 153,167.84 = 31,996.63 : x
  2. Step 2: Convert to fraction form
    102,111.85/153,167.84 = 31,996.63/x
  3. Step 3: Cross multiply
    102,111.85x = 153,167.84 × 31,996.63
  4. Step 4: Simplify right side
    102,111.85x = 4,900,854,704.38
  5. Step 5: Solve for x
    x = 4,900,854,704.38/102,111.85
  6. Step 6: Final answer
    x = 47,994.97

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