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Finding the Fourth Proportional to 80,941.88, 111,708.11 and 48,686.87

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Solution

The fourth proportional to 80,941.88, 111,708.11 and 48,686.87 is: 67,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,941.88 : 111,708.11 = 48,686.87 : x
  2. Step 2: Convert to fraction form
    80,941.88/111,708.11 = 48,686.87/x
  3. Step 3: Cross multiply
    80,941.88x = 111,708.11 × 48,686.87
  4. Step 4: Simplify right side
    80,941.88x = 5,438,718,229.52
  5. Step 5: Solve for x
    x = 5,438,718,229.52/80,941.88
  6. Step 6: Final answer
    x = 67,192.88

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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.