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Finding the Fourth Proportional to 100,411.12, 150,617.20 and 33,851.84

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Solution

The fourth proportional to 100,411.12, 150,617.20 and 33,851.84 is: 50,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.12 : 150,617.20 = 33,851.84 : x
  2. Step 2: Convert to fraction form
    100,411.12/150,617.20 = 33,851.84/x
  3. Step 3: Cross multiply
    100,411.12x = 150,617.20 × 33,851.84
  4. Step 4: Simplify right side
    100,411.12x = 5,098,669,355.65
  5. Step 5: Solve for x
    x = 5,098,669,355.65/100,411.12
  6. Step 6: Final answer
    x = 50,777.94

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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.