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Finding the Fourth Proportional to 80,179.92, 110,650.10 and 51,934.77

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Solution

The fourth proportional to 80,179.92, 110,650.10 and 51,934.77 is: 71,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,179.92 : 110,650.10 = 51,934.77 : x
  2. Step 2: Convert to fraction form
    80,179.92/110,650.10 = 51,934.77/x
  3. Step 3: Cross multiply
    80,179.92x = 110,650.10 × 51,934.77
  4. Step 4: Simplify right side
    80,179.92x = 5,746,587,234.30
  5. Step 5: Solve for x
    x = 5,746,587,234.30/80,179.92
  6. Step 6: Final answer
    x = 71,671.15

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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.