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Finding the Fourth Proportional to 54,593.82, 81,738.67 and 27,881.97

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Solution

The fourth proportional to 54,593.82, 81,738.67 and 27,881.97 is: 41,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,593.82 : 81,738.67 = 27,881.97 : x
  2. Step 2: Convert to fraction form
    54,593.82/81,738.67 = 27,881.97/x
  3. Step 3: Cross multiply
    54,593.82x = 81,738.67 × 27,881.97
  4. Step 4: Simplify right side
    54,593.82x = 2,279,035,280.61
  5. Step 5: Solve for x
    x = 2,279,035,280.61/54,593.82
  6. Step 6: Final answer
    x = 41,745.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.