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Finding the Fourth Proportional to 33,198.90, 49,794.25 and 13,458.49

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Solution

The fourth proportional to 33,198.90, 49,794.25 and 13,458.49 is: 20,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.90 : 49,794.25 = 13,458.49 : x
  2. Step 2: Convert to fraction form
    33,198.90/49,794.25 = 13,458.49/x
  3. Step 3: Cross multiply
    33,198.90x = 49,794.25 × 13,458.49
  4. Step 4: Simplify right side
    33,198.90x = 670,155,415.68
  5. Step 5: Solve for x
    x = 670,155,415.68/33,198.90
  6. Step 6: Final answer
    x = 20,186.07

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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.