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Finding the Fourth Proportional to 33,198.80, 49,803.38 and 13,478.74

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Solution

The fourth proportional to 33,198.80, 49,803.38 and 13,478.74 is: 20,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.80 : 49,803.38 = 13,478.74 : x
  2. Step 2: Convert to fraction form
    33,198.80/49,803.38 = 13,478.74/x
  3. Step 3: Cross multiply
    33,198.80x = 49,803.38 × 13,478.74
  4. Step 4: Simplify right side
    33,198.80x = 671,286,668.78
  5. Step 5: Solve for x
    x = 671,286,668.78/33,198.80
  6. Step 6: Final answer
    x = 20,220.21

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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.