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Finding the Fourth Proportional to 52,287.62, 78,387.62 and 36,446.18

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Solution

The fourth proportional to 52,287.62, 78,387.62 and 36,446.18 is: 54,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287.62 : 78,387.62 = 36,446.18 : x
  2. Step 2: Convert to fraction form
    52,287.62/78,387.62 = 36,446.18/x
  3. Step 3: Cross multiply
    52,287.62x = 78,387.62 × 36,446.18
  4. Step 4: Simplify right side
    52,287.62x = 2,856,929,308.29
  5. Step 5: Solve for x
    x = 2,856,929,308.29/52,287.62
  6. Step 6: Final answer
    x = 54,638.73

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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.