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Finding the Fourth Proportional to 33,378.34, 50,067.27 and 13,396.84

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Solution

The fourth proportional to 33,378.34, 50,067.27 and 13,396.84 is: 20,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378.34 : 50,067.27 = 13,396.84 : x
  2. Step 2: Convert to fraction form
    33,378.34/50,067.27 = 13,396.84/x
  3. Step 3: Cross multiply
    33,378.34x = 50,067.27 × 13,396.84
  4. Step 4: Simplify right side
    33,378.34x = 670,743,205.43
  5. Step 5: Solve for x
    x = 670,743,205.43/33,378.34
  6. Step 6: Final answer
    x = 20,095.16

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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.