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Finding the Fourth Proportional to 33,882.12, 50,759.82 and 30,221.64

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Solution

The fourth proportional to 33,882.12, 50,759.82 and 30,221.64 is: 45,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.12 : 50,759.82 = 30,221.64 : x
  2. Step 2: Convert to fraction form
    33,882.12/50,759.82 = 30,221.64/x
  3. Step 3: Cross multiply
    33,882.12x = 50,759.82 × 30,221.64
  4. Step 4: Simplify right side
    33,882.12x = 1,534,045,006.50
  5. Step 5: Solve for x
    x = 1,534,045,006.50/33,882.12
  6. Step 6: Final answer
    x = 45,275.95

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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.