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Finding the Fourth Proportional to 33,568.31, 50,322.39 and 13,834.28

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Solution

The fourth proportional to 33,568.31, 50,322.39 and 13,834.28 is: 20,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,568.31 : 50,322.39 = 13,834.28 : x
  2. Step 2: Convert to fraction form
    33,568.31/50,322.39 = 13,834.28/x
  3. Step 3: Cross multiply
    33,568.31x = 50,322.39 × 13,834.28
  4. Step 4: Simplify right side
    33,568.31x = 696,173,781.92
  5. Step 5: Solve for x
    x = 696,173,781.92/33,568.31
  6. Step 6: Final answer
    x = 20,739.02

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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.