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Finding the Fourth Proportional to 52,342.71, 78,522.86 and 24,251.28

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Solution

The fourth proportional to 52,342.71, 78,522.86 and 24,251.28 is: 36,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,342.71 : 78,522.86 = 24,251.28 : x
  2. Step 2: Convert to fraction form
    52,342.71/78,522.86 = 24,251.28/x
  3. Step 3: Cross multiply
    52,342.71x = 78,522.86 × 24,251.28
  4. Step 4: Simplify right side
    52,342.71x = 1,904,279,864.26
  5. Step 5: Solve for x
    x = 1,904,279,864.26/52,342.71
  6. Step 6: Final answer
    x = 36,380.99

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Why These Related Problems?

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