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Finding the Fourth Proportional to 33,667.38, 50,503.14 and 13,947.48

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Solution

The fourth proportional to 33,667.38, 50,503.14 and 13,947.48 is: 20,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,667.38 : 50,503.14 = 13,947.48 : x
  2. Step 2: Convert to fraction form
    33,667.38/50,503.14 = 13,947.48/x
  3. Step 3: Cross multiply
    33,667.38x = 50,503.14 × 13,947.48
  4. Step 4: Simplify right side
    33,667.38x = 704,391,535.09
  5. Step 5: Solve for x
    x = 704,391,535.09/33,667.38
  6. Step 6: Final answer
    x = 20,922.08

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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.