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Finding the Fourth Proportional to 52,505.14, 78,757.68 and 15,569.14

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Solution

The fourth proportional to 52,505.14, 78,757.68 and 15,569.14 is: 23,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.14 : 78,757.68 = 15,569.14 : x
  2. Step 2: Convert to fraction form
    52,505.14/78,757.68 = 15,569.14/x
  3. Step 3: Cross multiply
    52,505.14x = 78,757.68 × 15,569.14
  4. Step 4: Simplify right side
    52,505.14x = 1,226,189,346.00
  5. Step 5: Solve for x
    x = 1,226,189,346.00/52,505.14
  6. Step 6: Final answer
    x = 23,353.70

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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.