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Finding the Fourth Proportional to 54,286.28, 81,429.50 and 14,843.74

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Solution

The fourth proportional to 54,286.28, 81,429.50 and 14,843.74 is: 22,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286.28 : 81,429.50 = 14,843.74 : x
  2. Step 2: Convert to fraction form
    54,286.28/81,429.50 = 14,843.74/x
  3. Step 3: Cross multiply
    54,286.28x = 81,429.50 × 14,843.74
  4. Step 4: Simplify right side
    54,286.28x = 1,208,718,326.33
  5. Step 5: Solve for x
    x = 1,208,718,326.33/54,286.28
  6. Step 6: Final answer
    x = 22,265.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.