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Finding the Fourth Proportional to 31,716.72, 43,767.18 and 17,568.54

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Solution

The fourth proportional to 31,716.72, 43,767.18 and 17,568.54 is: 24,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.72 : 43,767.18 = 17,568.54 : x
  2. Step 2: Convert to fraction form
    31,716.72/43,767.18 = 17,568.54/x
  3. Step 3: Cross multiply
    31,716.72x = 43,767.18 × 17,568.54
  4. Step 4: Simplify right side
    31,716.72x = 768,925,452.52
  5. Step 5: Solve for x
    x = 768,925,452.52/31,716.72
  6. Step 6: Final answer
    x = 24,243.54

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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.