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Finding the Fourth Proportional to 60,414.92, 83,366.38 and 35,279

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Solution

The fourth proportional to 60,414.92, 83,366.38 and 35,279 is: 48,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.92 : 83,366.38 = 35,279 : x
  2. Step 2: Convert to fraction form
    60,414.92/83,366.38 = 35,279/x
  3. Step 3: Cross multiply
    60,414.92x = 83,366.38 × 35,279
  4. Step 4: Simplify right side
    60,414.92x = 2,941,082,520.02
  5. Step 5: Solve for x
    x = 2,941,082,520.02/60,414.92
  6. Step 6: Final answer
    x = 48,681.39

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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.