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Finding the Fourth Proportional to 83,842.81, 125,737.53 and 27,672.46

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Solution

The fourth proportional to 83,842.81, 125,737.53 and 27,672.46 is: 41,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.81 : 125,737.53 = 27,672.46 : x
  2. Step 2: Convert to fraction form
    83,842.81/125,737.53 = 27,672.46/x
  3. Step 3: Cross multiply
    83,842.81x = 125,737.53 × 27,672.46
  4. Step 4: Simplify right side
    83,842.81x = 3,479,466,769.42
  5. Step 5: Solve for x
    x = 3,479,466,769.42/83,842.81
  6. Step 6: Final answer
    x = 41,499.88

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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.