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Finding the Fourth Proportional to 54,872, 75,723.36 and 29,721.68

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Solution

The fourth proportional to 54,872, 75,723.36 and 29,721.68 is: 41,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872 : 75,723.36 = 29,721.68 : x
  2. Step 2: Convert to fraction form
    54,872/75,723.36 = 29,721.68/x
  3. Step 3: Cross multiply
    54,872x = 75,723.36 × 29,721.68
  4. Step 4: Simplify right side
    54,872x = 2,250,625,474.44
  5. Step 5: Solve for x
    x = 2,250,625,474.44/54,872
  6. Step 6: Final answer
    x = 41,015.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.