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Finding the Fourth Proportional to 47,229.62, 65,149.17 and 28,371.38

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Solution

The fourth proportional to 47,229.62, 65,149.17 and 28,371.38 is: 39,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229.62 : 65,149.17 = 28,371.38 : x
  2. Step 2: Convert to fraction form
    47,229.62/65,149.17 = 28,371.38/x
  3. Step 3: Cross multiply
    47,229.62x = 65,149.17 × 28,371.38
  4. Step 4: Simplify right side
    47,229.62x = 1,848,371,858.75
  5. Step 5: Solve for x
    x = 1,848,371,858.75/47,229.62
  6. Step 6: Final answer
    x = 39,135.86

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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.