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Finding the Fourth Proportional to 83,711.42, 115,522.82 and 45,471.61

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Solution

The fourth proportional to 83,711.42, 115,522.82 and 45,471.61 is: 62,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,711.42 : 115,522.82 = 45,471.61 : x
  2. Step 2: Convert to fraction form
    83,711.42/115,522.82 = 45,471.61/x
  3. Step 3: Cross multiply
    83,711.42x = 115,522.82 × 45,471.61
  4. Step 4: Simplify right side
    83,711.42x = 5,253,008,534.19
  5. Step 5: Solve for x
    x = 5,253,008,534.19/83,711.42
  6. Step 6: Final answer
    x = 62,751.39

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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.