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Finding the Fourth Proportional to 33,228.80, 49,843.20 and 22,731.20

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Solution

The fourth proportional to 33,228.80, 49,843.20 and 22,731.20 is: 34,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.80 : 49,843.20 = 22,731.20 : x
  2. Step 2: Convert to fraction form
    33,228.80/49,843.20 = 22,731.20/x
  3. Step 3: Cross multiply
    33,228.80x = 49,843.20 × 22,731.20
  4. Step 4: Simplify right side
    33,228.80x = 1,132,995,747.84
  5. Step 5: Solve for x
    x = 1,132,995,747.84/33,228.80
  6. Step 6: Final answer
    x = 34,096.80

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Why These Related Problems?

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