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Finding the Fourth Proportional to 71,761.92, 99,031.46 and 41,548.82

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Solution

The fourth proportional to 71,761.92, 99,031.46 and 41,548.82 is: 57,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,761.92 : 99,031.46 = 41,548.82 : x
  2. Step 2: Convert to fraction form
    71,761.92/99,031.46 = 41,548.82/x
  3. Step 3: Cross multiply
    71,761.92x = 99,031.46 × 41,548.82
  4. Step 4: Simplify right side
    71,761.92x = 4,114,640,672.27
  5. Step 5: Solve for x
    x = 4,114,640,672.27/71,761.92
  6. Step 6: Final answer
    x = 57,337.38

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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.