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Finding the Fourth Proportional to 54,878.91, 75,732.42 and 29,728.41

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Solution

The fourth proportional to 54,878.91, 75,732.42 and 29,728.41 is: 41,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.91 : 75,732.42 = 29,728.41 : x
  2. Step 2: Convert to fraction form
    54,878.91/75,732.42 = 29,728.41/x
  3. Step 3: Cross multiply
    54,878.91x = 75,732.42 × 29,728.41
  4. Step 4: Simplify right side
    54,878.91x = 2,251,404,432.05
  5. Step 5: Solve for x
    x = 2,251,404,432.05/54,878.91
  6. Step 6: Final answer
    x = 41,024.95

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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.