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Finding the Fourth Proportional to 83,082.38, 114,653.10 and 45,356.63

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Solution

The fourth proportional to 83,082.38, 114,653.10 and 45,356.63 is: 62,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.38 : 114,653.10 = 45,356.63 : x
  2. Step 2: Convert to fraction form
    83,082.38/114,653.10 = 45,356.63/x
  3. Step 3: Cross multiply
    83,082.38x = 114,653.10 × 45,356.63
  4. Step 4: Simplify right side
    83,082.38x = 5,200,278,235.05
  5. Step 5: Solve for x
    x = 5,200,278,235.05/83,082.38
  6. Step 6: Final answer
    x = 62,591.83

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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.