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Finding the Fourth Proportional to 49,062.92, 67,708.91 and 27,844.16

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Solution

The fourth proportional to 49,062.92, 67,708.91 and 27,844.16 is: 38,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062.92 : 67,708.91 = 27,844.16 : x
  2. Step 2: Convert to fraction form
    49,062.92/67,708.91 = 27,844.16/x
  3. Step 3: Cross multiply
    49,062.92x = 67,708.91 × 27,844.16
  4. Step 4: Simplify right side
    49,062.92x = 1,885,297,454.53
  5. Step 5: Solve for x
    x = 1,885,297,454.53/49,062.92
  6. Step 6: Final answer
    x = 38,426.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.