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Finding the Fourth Proportional to 100,205.18, 150,310.20 and 33,647.48

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Solution

The fourth proportional to 100,205.18, 150,310.20 and 33,647.48 is: 50,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.18 : 150,310.20 = 33,647.48 : x
  2. Step 2: Convert to fraction form
    100,205.18/150,310.20 = 33,647.48/x
  3. Step 3: Cross multiply
    100,205.18x = 150,310.20 × 33,647.48
  4. Step 4: Simplify right side
    100,205.18x = 5,057,559,448.30
  5. Step 5: Solve for x
    x = 5,057,559,448.30/100,205.18
  6. Step 6: Final answer
    x = 50,472.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.