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Finding the Fourth Proportional to 33,161.76, 49,727.04 and 13,425.30

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Solution

The fourth proportional to 33,161.76, 49,727.04 and 13,425.30 is: 20,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.76 : 49,727.04 = 13,425.30 : x
  2. Step 2: Convert to fraction form
    33,161.76/49,727.04 = 13,425.30/x
  3. Step 3: Cross multiply
    33,161.76x = 49,727.04 × 13,425.30
  4. Step 4: Simplify right side
    33,161.76x = 667,600,430.11
  5. Step 5: Solve for x
    x = 667,600,430.11/33,161.76
  6. Step 6: Final answer
    x = 20,131.63

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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.