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Finding the Fourth Proportional to 33,149.20, 49,680.60 and 13,411.60

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Solution

The fourth proportional to 33,149.20, 49,680.60 and 13,411.60 is: 20,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.20 : 49,680.60 = 13,411.60 : x
  2. Step 2: Convert to fraction form
    33,149.20/49,680.60 = 13,411.60/x
  3. Step 3: Cross multiply
    33,149.20x = 49,680.60 × 13,411.60
  4. Step 4: Simplify right side
    33,149.20x = 666,296,334.96
  5. Step 5: Solve for x
    x = 666,296,334.96/33,149.20
  6. Step 6: Final answer
    x = 20,099.92

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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.