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Finding the Fourth Proportional to 100,202.82, 150,321.54 and 33,649.38

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Solution

The fourth proportional to 100,202.82, 150,321.54 and 33,649.38 is: 50,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.82 : 150,321.54 = 33,649.38 : x
  2. Step 2: Convert to fraction form
    100,202.82/150,321.54 = 33,649.38/x
  3. Step 3: Cross multiply
    100,202.82x = 150,321.54 × 33,649.38
  4. Step 4: Simplify right side
    100,202.82x = 5,058,226,621.65
  5. Step 5: Solve for x
    x = 5,058,226,621.65/100,202.82
  6. Step 6: Final answer
    x = 50,479.88

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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.