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Finding the Fourth Proportional to 71,635.86, 98,843.49 and 48,949.38

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Solution

The fourth proportional to 71,635.86, 98,843.49 and 48,949.38 is: 67,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.86 : 98,843.49 = 48,949.38 : x
  2. Step 2: Convert to fraction form
    71,635.86/98,843.49 = 48,949.38/x
  3. Step 3: Cross multiply
    71,635.86x = 98,843.49 × 48,949.38
  4. Step 4: Simplify right side
    71,635.86x = 4,838,327,552.54
  5. Step 5: Solve for x
    x = 4,838,327,552.54/71,635.86
  6. Step 6: Final answer
    x = 67,540.58

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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.