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Finding the Fourth Proportional to 33,635.28, 50,476.38 and 13,914

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Solution

The fourth proportional to 33,635.28, 50,476.38 and 13,914 is: 20,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.28 : 50,476.38 = 13,914 : x
  2. Step 2: Convert to fraction form
    33,635.28/50,476.38 = 13,914/x
  3. Step 3: Cross multiply
    33,635.28x = 50,476.38 × 13,914
  4. Step 4: Simplify right side
    33,635.28x = 702,328,351.32
  5. Step 5: Solve for x
    x = 702,328,351.32/33,635.28
  6. Step 6: Final answer
    x = 20,880.70

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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.