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Finding the Fourth Proportional to 54,874.76, 75,727.17 and 29,724.26

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Solution

The fourth proportional to 54,874.76, 75,727.17 and 29,724.26 is: 41,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.76 : 75,727.17 = 29,724.26 : x
  2. Step 2: Convert to fraction form
    54,874.76/75,727.17 = 29,724.26/x
  3. Step 3: Cross multiply
    54,874.76x = 75,727.17 × 29,724.26
  4. Step 4: Simplify right side
    54,874.76x = 2,250,933,711.51
  5. Step 5: Solve for x
    x = 2,250,933,711.51/54,874.76
  6. Step 6: Final answer
    x = 41,019.48

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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.