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Finding the Fourth Proportional to 29,123.78, 43,691.88 and 16,649.78

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Solution

The fourth proportional to 29,123.78, 43,691.88 and 16,649.78 is: 24,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.78 : 43,691.88 = 16,649.78 : x
  2. Step 2: Convert to fraction form
    29,123.78/43,691.88 = 16,649.78/x
  3. Step 3: Cross multiply
    29,123.78x = 43,691.88 × 16,649.78
  4. Step 4: Simplify right side
    29,123.78x = 727,460,189.79
  5. Step 5: Solve for x
    x = 727,460,189.79/29,123.78
  6. Step 6: Final answer
    x = 24,978.22

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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.