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Finding the Fourth Proportional to 33,535.32, 50,310.42 and 12,759

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Solution

The fourth proportional to 33,535.32, 50,310.42 and 12,759 is: 19,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,535.32 : 50,310.42 = 12,759 : x
  2. Step 2: Convert to fraction form
    33,535.32/50,310.42 = 12,759/x
  3. Step 3: Cross multiply
    33,535.32x = 50,310.42 × 12,759
  4. Step 4: Simplify right side
    33,535.32x = 641,910,648.78
  5. Step 5: Solve for x
    x = 641,910,648.78/33,535.32
  6. Step 6: Final answer
    x = 19,141.33

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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.