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Finding the Fourth Proportional to 100,414.35, 150,617.57 and 33,852.96

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Solution

The fourth proportional to 100,414.35, 150,617.57 and 33,852.96 is: 50,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.35 : 150,617.57 = 33,852.96 : x
  2. Step 2: Convert to fraction form
    100,414.35/150,617.57 = 33,852.96/x
  3. Step 3: Cross multiply
    100,414.35x = 150,617.57 × 33,852.96
  4. Step 4: Simplify right side
    100,414.35x = 5,098,850,403.24
  5. Step 5: Solve for x
    x = 5,098,850,403.24/100,414.35
  6. Step 6: Final answer
    x = 50,778.10

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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.