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Finding the Fourth Proportional to 83,298.38, 114,951.42 and 45,057.95

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Solution

The fourth proportional to 83,298.38, 114,951.42 and 45,057.95 is: 62,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,298.38 : 114,951.42 = 45,057.95 : x
  2. Step 2: Convert to fraction form
    83,298.38/114,951.42 = 45,057.95/x
  3. Step 3: Cross multiply
    83,298.38x = 114,951.42 × 45,057.95
  4. Step 4: Simplify right side
    83,298.38x = 5,179,475,334.79
  5. Step 5: Solve for x
    x = 5,179,475,334.79/83,298.38
  6. Step 6: Final answer
    x = 62,179.78

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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.