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Finding the Fourth Proportional to 62,202.78, 85,839.82 and 33,908.46

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Solution

The fourth proportional to 62,202.78, 85,839.82 and 33,908.46 is: 46,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,202.78 : 85,839.82 = 33,908.46 : x
  2. Step 2: Convert to fraction form
    62,202.78/85,839.82 = 33,908.46/x
  3. Step 3: Cross multiply
    62,202.78x = 85,839.82 × 33,908.46
  4. Step 4: Simplify right side
    62,202.78x = 2,910,696,102.88
  5. Step 5: Solve for x
    x = 2,910,696,102.88/62,202.78
  6. Step 6: Final answer
    x = 46,793.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.