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Finding the Fourth Proportional to 100,229.82, 150,362.10 and 33,676.44

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Solution

The fourth proportional to 100,229.82, 150,362.10 and 33,676.44 is: 50,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,229.82 : 150,362.10 = 33,676.44 : x
  2. Step 2: Convert to fraction form
    100,229.82/150,362.10 = 33,676.44/x
  3. Step 3: Cross multiply
    100,229.82x = 150,362.10 × 33,676.44
  4. Step 4: Simplify right side
    100,229.82x = 5,063,660,238.92
  5. Step 5: Solve for x
    x = 5,063,660,238.92/100,229.82
  6. Step 6: Final answer
    x = 50,520.50

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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.