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Finding the Fourth Proportional to 80,597.46, 111,192 and 48,711

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Solution

The fourth proportional to 80,597.46, 111,192 and 48,711 is: 67,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,597.46 : 111,192 = 48,711 : x
  2. Step 2: Convert to fraction form
    80,597.46/111,192 = 48,711/x
  3. Step 3: Cross multiply
    80,597.46x = 111,192 × 48,711
  4. Step 4: Simplify right side
    80,597.46x = 5,416,273,512
  5. Step 5: Solve for x
    x = 5,416,273,512/80,597.46
  6. Step 6: Final answer
    x = 67,201.54

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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.