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Finding the Fourth Proportional to 33,906.48, 50,876.11 and 20,751.67

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Solution

The fourth proportional to 33,906.48, 50,876.11 and 20,751.67 is: 31,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906.48 : 50,876.11 = 20,751.67 : x
  2. Step 2: Convert to fraction form
    33,906.48/50,876.11 = 20,751.67/x
  3. Step 3: Cross multiply
    33,906.48x = 50,876.11 × 20,751.67
  4. Step 4: Simplify right side
    33,906.48x = 1,055,764,335.14
  5. Step 5: Solve for x
    x = 1,055,764,335.14/33,906.48
  6. Step 6: Final answer
    x = 31,137.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.