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Finding the Fourth Proportional to 33,543.71, 46,286.60 and 20,115.53

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Solution

The fourth proportional to 33,543.71, 46,286.60 and 20,115.53 is: 27,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543.71 : 46,286.60 = 20,115.53 : x
  2. Step 2: Convert to fraction form
    33,543.71/46,286.60 = 20,115.53/x
  3. Step 3: Cross multiply
    33,543.71x = 46,286.60 × 20,115.53
  4. Step 4: Simplify right side
    33,543.71x = 931,079,158.89
  5. Step 5: Solve for x
    x = 931,079,158.89/33,543.71
  6. Step 6: Final answer
    x = 27,757.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.