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Finding the Fourth Proportional to 100,424.27, 150,531.28 and 33,841.40

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Solution

The fourth proportional to 100,424.27, 150,531.28 and 33,841.40 is: 50,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.27 : 150,531.28 = 33,841.40 : x
  2. Step 2: Convert to fraction form
    100,424.27/150,531.28 = 33,841.40/x
  3. Step 3: Cross multiply
    100,424.27x = 150,531.28 × 33,841.40
  4. Step 4: Simplify right side
    100,424.27x = 5,094,188,421.73
  5. Step 5: Solve for x
    x = 5,094,188,421.73/100,424.27
  6. Step 6: Final answer
    x = 50,726.66

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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.