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Finding the Fourth Proportional to 33,198.74, 49,812.11 and 13,472.18

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Solution

The fourth proportional to 33,198.74, 49,812.11 and 13,472.18 is: 20,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.74 : 49,812.11 = 13,472.18 : x
  2. Step 2: Convert to fraction form
    33,198.74/49,812.11 = 13,472.18/x
  3. Step 3: Cross multiply
    33,198.74x = 49,812.11 × 13,472.18
  4. Step 4: Simplify right side
    33,198.74x = 671,077,712.10
  5. Step 5: Solve for x
    x = 671,077,712.10/33,198.74
  6. Step 6: Final answer
    x = 20,213.95

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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.