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Finding the Fourth Proportional to 33,160.80, 49,741.20 and 13,429.20

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Solution

The fourth proportional to 33,160.80, 49,741.20 and 13,429.20 is: 20,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160.80 : 49,741.20 = 13,429.20 : x
  2. Step 2: Convert to fraction form
    33,160.80/49,741.20 = 13,429.20/x
  3. Step 3: Cross multiply
    33,160.80x = 49,741.20 × 13,429.20
  4. Step 4: Simplify right side
    33,160.80x = 667,984,523.04
  5. Step 5: Solve for x
    x = 667,984,523.04/33,160.80
  6. Step 6: Final answer
    x = 20,143.80

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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.