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Finding the Fourth Proportional to 39,575.92, 54,591.96 and 24,646

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Solution

The fourth proportional to 39,575.92, 54,591.96 and 24,646 is: 33,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575.92 : 54,591.96 = 24,646 : x
  2. Step 2: Convert to fraction form
    39,575.92/54,591.96 = 24,646/x
  3. Step 3: Cross multiply
    39,575.92x = 54,591.96 × 24,646
  4. Step 4: Simplify right side
    39,575.92x = 1,345,473,446.16
  5. Step 5: Solve for x
    x = 1,345,473,446.16/39,575.92
  6. Step 6: Final answer
    x = 33,997.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.