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Finding the Fourth Proportional to 54,471.97, 75,167.22 and 30,593.98

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Solution

The fourth proportional to 54,471.97, 75,167.22 and 30,593.98 is: 42,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471.97 : 75,167.22 = 30,593.98 : x
  2. Step 2: Convert to fraction form
    54,471.97/75,167.22 = 30,593.98/x
  3. Step 3: Cross multiply
    54,471.97x = 75,167.22 × 30,593.98
  4. Step 4: Simplify right side
    54,471.97x = 2,299,664,425.34
  5. Step 5: Solve for x
    x = 2,299,664,425.34/54,471.97
  6. Step 6: Final answer
    x = 42,217.39

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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.