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Finding the Fourth Proportional to 100,267.74, 150,398.78 and 33,711.66

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Solution

The fourth proportional to 100,267.74, 150,398.78 and 33,711.66 is: 50,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,267.74 : 150,398.78 = 33,711.66 : x
  2. Step 2: Convert to fraction form
    100,267.74/150,398.78 = 33,711.66/x
  3. Step 3: Cross multiply
    100,267.74x = 150,398.78 × 33,711.66
  4. Step 4: Simplify right side
    100,267.74x = 5,070,192,367.22
  5. Step 5: Solve for x
    x = 5,070,192,367.22/100,267.74
  6. Step 6: Final answer
    x = 50,566.54

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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.