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Finding the Fourth Proportional to 54,872.78, 75,724.80 and 29,722.28

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Solution

The fourth proportional to 54,872.78, 75,724.80 and 29,722.28 is: 41,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.78 : 75,724.80 = 29,722.28 : x
  2. Step 2: Convert to fraction form
    54,872.78/75,724.80 = 29,722.28/x
  3. Step 3: Cross multiply
    54,872.78x = 75,724.80 × 29,722.28
  4. Step 4: Simplify right side
    54,872.78x = 2,250,713,708.54
  5. Step 5: Solve for x
    x = 2,250,713,708.54/54,872.78
  6. Step 6: Final answer
    x = 41,016.94

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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.