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Finding the Fourth Proportional to 33,280.80, 49,921.20 and 13,549.20

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Solution

The fourth proportional to 33,280.80, 49,921.20 and 13,549.20 is: 20,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280.80 : 49,921.20 = 13,549.20 : x
  2. Step 2: Convert to fraction form
    33,280.80/49,921.20 = 13,549.20/x
  3. Step 3: Cross multiply
    33,280.80x = 49,921.20 × 13,549.20
  4. Step 4: Simplify right side
    33,280.80x = 676,392,323.04
  5. Step 5: Solve for x
    x = 676,392,323.04/33,280.80
  6. Step 6: Final answer
    x = 20,323.80

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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.