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Finding the Fourth Proportional to 33,637.28, 50,479.38 and 13,916

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Solution

The fourth proportional to 33,637.28, 50,479.38 and 13,916 is: 20,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637.28 : 50,479.38 = 13,916 : x
  2. Step 2: Convert to fraction form
    33,637.28/50,479.38 = 13,916/x
  3. Step 3: Cross multiply
    33,637.28x = 50,479.38 × 13,916
  4. Step 4: Simplify right side
    33,637.28x = 702,471,052.08
  5. Step 5: Solve for x
    x = 702,471,052.08/33,637.28
  6. Step 6: Final answer
    x = 20,883.71

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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.