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Finding the Fourth Proportional to 33,204.45, 49,805.87 and 12,149.31

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Solution

The fourth proportional to 33,204.45, 49,805.87 and 12,149.31 is: 18,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.45 : 49,805.87 = 12,149.31 : x
  2. Step 2: Convert to fraction form
    33,204.45/49,805.87 = 12,149.31/x
  3. Step 3: Cross multiply
    33,204.45x = 49,805.87 × 12,149.31
  4. Step 4: Simplify right side
    33,204.45x = 605,106,893.70
  5. Step 5: Solve for x
    x = 605,106,893.70/33,204.45
  6. Step 6: Final answer
    x = 18,223.67

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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.