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Finding the Fourth Proportional to 71,375.46, 98,494.02 and 39,542.46

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Solution

The fourth proportional to 71,375.46, 98,494.02 and 39,542.46 is: 54,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375.46 : 98,494.02 = 39,542.46 : x
  2. Step 2: Convert to fraction form
    71,375.46/98,494.02 = 39,542.46/x
  3. Step 3: Cross multiply
    71,375.46x = 98,494.02 × 39,542.46
  4. Step 4: Simplify right side
    71,375.46x = 3,894,695,846.09
  5. Step 5: Solve for x
    x = 3,894,695,846.09/71,375.46
  6. Step 6: Final answer
    x = 54,566.32

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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.