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Finding the Fourth Proportional to 83,191.42, 124,845.45 and 48,082.78

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Solution

The fourth proportional to 83,191.42, 124,845.45 and 48,082.78 is: 72,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.42 : 124,845.45 = 48,082.78 : x
  2. Step 2: Convert to fraction form
    83,191.42/124,845.45 = 48,082.78/x
  3. Step 3: Cross multiply
    83,191.42x = 124,845.45 × 48,082.78
  4. Step 4: Simplify right side
    83,191.42x = 6,002,916,306.35
  5. Step 5: Solve for x
    x = 6,002,916,306.35/83,191.42
  6. Step 6: Final answer
    x = 72,157.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.