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Finding the Fourth Proportional to 33,221.62, 49,776.02 and 20,046.30

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Solution

The fourth proportional to 33,221.62, 49,776.02 and 20,046.30 is: 30,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.62 : 49,776.02 = 20,046.30 : x
  2. Step 2: Convert to fraction form
    33,221.62/49,776.02 = 20,046.30/x
  3. Step 3: Cross multiply
    33,221.62x = 49,776.02 × 20,046.30
  4. Step 4: Simplify right side
    33,221.62x = 997,825,029.73
  5. Step 5: Solve for x
    x = 997,825,029.73/33,221.62
  6. Step 6: Final answer
    x = 30,035.41

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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.