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Finding the Fourth Proportional to 33,793.78, 50,696.43 and 10,419.70

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Solution

The fourth proportional to 33,793.78, 50,696.43 and 10,419.70 is: 15,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793.78 : 50,696.43 = 10,419.70 : x
  2. Step 2: Convert to fraction form
    33,793.78/50,696.43 = 10,419.70/x
  3. Step 3: Cross multiply
    33,793.78x = 50,696.43 × 10,419.70
  4. Step 4: Simplify right side
    33,793.78x = 528,241,591.67
  5. Step 5: Solve for x
    x = 528,241,591.67/33,793.78
  6. Step 6: Final answer
    x = 15,631.33

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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.