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Finding the Fourth Proportional to 54,874.50, 75,727.38 and 29,724.54

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Solution

The fourth proportional to 54,874.50, 75,727.38 and 29,724.54 is: 41,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.50 : 75,727.38 = 29,724.54 : x
  2. Step 2: Convert to fraction form
    54,874.50/75,727.38 = 29,724.54/x
  3. Step 3: Cross multiply
    54,874.50x = 75,727.38 × 29,724.54
  4. Step 4: Simplify right side
    54,874.50x = 2,250,961,535.91
  5. Step 5: Solve for x
    x = 2,250,961,535.91/54,874.50
  6. Step 6: Final answer
    x = 41,020.17

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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.