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Finding the Fourth Proportional to 33,760.49, 50,512.25 and 20,384.25

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Solution

The fourth proportional to 33,760.49, 50,512.25 and 20,384.25 is: 30,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,760.49 : 50,512.25 = 20,384.25 : x
  2. Step 2: Convert to fraction form
    33,760.49/50,512.25 = 20,384.25/x
  3. Step 3: Cross multiply
    33,760.49x = 50,512.25 × 20,384.25
  4. Step 4: Simplify right side
    33,760.49x = 1,029,654,230.14
  5. Step 5: Solve for x
    x = 1,029,654,230.14/33,760.49
  6. Step 6: Final answer
    x = 30,498.79

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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.