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Finding the Fourth Proportional to 37,691.88, 56,472.47 and 22,869.66

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Solution

The fourth proportional to 37,691.88, 56,472.47 and 22,869.66 is: 34,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,691.88 : 56,472.47 = 22,869.66 : x
  2. Step 2: Convert to fraction form
    37,691.88/56,472.47 = 22,869.66/x
  3. Step 3: Cross multiply
    37,691.88x = 56,472.47 × 22,869.66
  4. Step 4: Simplify right side
    37,691.88x = 1,291,506,073.91
  5. Step 5: Solve for x
    x = 1,291,506,073.91/37,691.88
  6. Step 6: Final answer
    x = 34,264.84

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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.