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Finding the Fourth Proportional to 29,839, 41,177.82 and 16,591

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Solution

The fourth proportional to 29,839, 41,177.82 and 16,591 is: 22,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839 : 41,177.82 = 16,591 : x
  2. Step 2: Convert to fraction form
    29,839/41,177.82 = 16,591/x
  3. Step 3: Cross multiply
    29,839x = 41,177.82 × 16,591
  4. Step 4: Simplify right side
    29,839x = 683,181,211.62
  5. Step 5: Solve for x
    x = 683,181,211.62/29,839
  6. Step 6: Final answer
    x = 22,895.58

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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.