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Finding the Fourth Proportional to 61,757.46, 85,226.85 and 37,897.29

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Solution

The fourth proportional to 61,757.46, 85,226.85 and 37,897.29 is: 52,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,757.46 : 85,226.85 = 37,897.29 : x
  2. Step 2: Convert to fraction form
    61,757.46/85,226.85 = 37,897.29/x
  3. Step 3: Cross multiply
    61,757.46x = 85,226.85 × 37,897.29
  4. Step 4: Simplify right side
    61,757.46x = 3,229,866,650.24
  5. Step 5: Solve for x
    x = 3,229,866,650.24/61,757.46
  6. Step 6: Final answer
    x = 52,299.21

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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.