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Finding the Fourth Proportional to 54,872.82, 75,724.83 and 29,722.32

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Solution

The fourth proportional to 54,872.82, 75,724.83 and 29,722.32 is: 41,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.82 : 75,724.83 = 29,722.32 : x
  2. Step 2: Convert to fraction form
    54,872.82/75,724.83 = 29,722.32/x
  3. Step 3: Cross multiply
    54,872.82x = 75,724.83 × 29,722.32
  4. Step 4: Simplify right side
    54,872.82x = 2,250,717,629.21
  5. Step 5: Solve for x
    x = 2,250,717,629.21/54,872.82
  6. Step 6: Final answer
    x = 41,016.98

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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.