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Finding the Fourth Proportional to 67,876.52, 101,678.49 and 32,372.19

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Solution

The fourth proportional to 67,876.52, 101,678.49 and 32,372.19 is: 48,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876.52 : 101,678.49 = 32,372.19 : x
  2. Step 2: Convert to fraction form
    67,876.52/101,678.49 = 32,372.19/x
  3. Step 3: Cross multiply
    67,876.52x = 101,678.49 × 32,372.19
  4. Step 4: Simplify right side
    67,876.52x = 3,291,555,397.19
  5. Step 5: Solve for x
    x = 3,291,555,397.19/67,876.52
  6. Step 6: Final answer
    x = 48,493.29

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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.