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Finding the Fourth Proportional to 71,862.76, 99,172.14 and 41,657.86

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Solution

The fourth proportional to 71,862.76, 99,172.14 and 41,657.86 is: 57,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,862.76 : 99,172.14 = 41,657.86 : x
  2. Step 2: Convert to fraction form
    71,862.76/99,172.14 = 41,657.86/x
  3. Step 3: Cross multiply
    71,862.76x = 99,172.14 × 41,657.86
  4. Step 4: Simplify right side
    71,862.76x = 4,131,299,124.02
  5. Step 5: Solve for x
    x = 4,131,299,124.02/71,862.76
  6. Step 6: Final answer
    x = 57,488.73

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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.