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Finding the Fourth Proportional to 100,221.66, 150,346.32 and 33,680.82

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Solution

The fourth proportional to 100,221.66, 150,346.32 and 33,680.82 is: 50,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,221.66 : 150,346.32 = 33,680.82 : x
  2. Step 2: Convert to fraction form
    100,221.66/150,346.32 = 33,680.82/x
  3. Step 3: Cross multiply
    100,221.66x = 150,346.32 × 33,680.82
  4. Step 4: Simplify right side
    100,221.66x = 5,063,787,341.58
  5. Step 5: Solve for x
    x = 5,063,787,341.58/100,221.66
  6. Step 6: Final answer
    x = 50,525.88

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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.