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Finding the Fourth Proportional to 33,171.22, 45,761.49 and 22,412.63

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Solution

The fourth proportional to 33,171.22, 45,761.49 and 22,412.63 is: 30,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,171.22 : 45,761.49 = 22,412.63 : x
  2. Step 2: Convert to fraction form
    33,171.22/45,761.49 = 22,412.63/x
  3. Step 3: Cross multiply
    33,171.22x = 45,761.49 × 22,412.63
  4. Step 4: Simplify right side
    33,171.22x = 1,025,635,343.62
  5. Step 5: Solve for x
    x = 1,025,635,343.62/33,171.22
  6. Step 6: Final answer
    x = 30,919.43

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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.