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Finding the Fourth Proportional to 83,190.42, 124,843.95 and 48,081.78

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Solution

The fourth proportional to 83,190.42, 124,843.95 and 48,081.78 is: 72,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,190.42 : 124,843.95 = 48,081.78 : x
  2. Step 2: Convert to fraction form
    83,190.42/124,843.95 = 48,081.78/x
  3. Step 3: Cross multiply
    83,190.42x = 124,843.95 × 48,081.78
  4. Step 4: Simplify right side
    83,190.42x = 6,002,719,338.23
  5. Step 5: Solve for x
    x = 6,002,719,338.23/83,190.42
  6. Step 6: Final answer
    x = 72,156.38

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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.