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Finding the Fourth Proportional to 47,540.82, 71,232.24 and 33,471.38

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Solution

The fourth proportional to 47,540.82, 71,232.24 and 33,471.38 is: 50,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540.82 : 71,232.24 = 33,471.38 : x
  2. Step 2: Convert to fraction form
    47,540.82/71,232.24 = 33,471.38/x
  3. Step 3: Cross multiply
    47,540.82x = 71,232.24 × 33,471.38
  4. Step 4: Simplify right side
    47,540.82x = 2,384,241,373.29
  5. Step 5: Solve for x
    x = 2,384,241,373.29/47,540.82
  6. Step 6: Final answer
    x = 50,151.46

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