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Finding the Fourth Proportional to 49,086.81, 67,737.47 and 27,863.19

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Solution

The fourth proportional to 49,086.81, 67,737.47 and 27,863.19 is: 38,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086.81 : 67,737.47 = 27,863.19 : x
  2. Step 2: Convert to fraction form
    49,086.81/67,737.47 = 27,863.19/x
  3. Step 3: Cross multiply
    49,086.81x = 67,737.47 × 27,863.19
  4. Step 4: Simplify right side
    49,086.81x = 1,887,381,857.41
  5. Step 5: Solve for x
    x = 1,887,381,857.41/49,086.81
  6. Step 6: Final answer
    x = 38,449.88

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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.