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Finding the Fourth Proportional to 100,217.65, 150,340.32 and 33,676.81

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Solution

The fourth proportional to 100,217.65, 150,340.32 and 33,676.81 is: 50,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.65 : 150,340.32 = 33,676.81 : x
  2. Step 2: Convert to fraction form
    100,217.65/150,340.32 = 33,676.81/x
  3. Step 3: Cross multiply
    100,217.65x = 150,340.32 × 33,676.81
  4. Step 4: Simplify right side
    100,217.65x = 5,062,982,391.98
  5. Step 5: Solve for x
    x = 5,062,982,391.98/100,217.65
  6. Step 6: Final answer
    x = 50,519.87

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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.