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Finding the Fourth Proportional to 54,874.88, 75,727.35 and 29,724.38

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Solution

The fourth proportional to 54,874.88, 75,727.35 and 29,724.38 is: 41,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.88 : 75,727.35 = 29,724.38 : x
  2. Step 2: Convert to fraction form
    54,874.88/75,727.35 = 29,724.38/x
  3. Step 3: Cross multiply
    54,874.88x = 75,727.35 × 29,724.38
  4. Step 4: Simplify right side
    54,874.88x = 2,250,948,527.79
  5. Step 5: Solve for x
    x = 2,250,948,527.79/54,874.88
  6. Step 6: Final answer
    x = 41,019.65

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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.