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Finding the Fourth Proportional to 52,654.50, 78,892.62 and 31,834.26

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Solution

The fourth proportional to 52,654.50, 78,892.62 and 31,834.26 is: 47,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,654.50 : 78,892.62 = 31,834.26 : x
  2. Step 2: Convert to fraction form
    52,654.50/78,892.62 = 31,834.26/x
  3. Step 3: Cross multiply
    52,654.50x = 78,892.62 × 31,834.26
  4. Step 4: Simplify right side
    52,654.50x = 2,511,488,177.16
  5. Step 5: Solve for x
    x = 2,511,488,177.16/52,654.50
  6. Step 6: Final answer
    x = 47,697.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.