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Finding the Fourth Proportional to 31,231.71, 43,099.79 and 17,084.57

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Solution

The fourth proportional to 31,231.71, 43,099.79 and 17,084.57 is: 23,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.71 : 43,099.79 = 17,084.57 : x
  2. Step 2: Convert to fraction form
    31,231.71/43,099.79 = 17,084.57/x
  3. Step 3: Cross multiply
    31,231.71x = 43,099.79 × 17,084.57
  4. Step 4: Simplify right side
    31,231.71x = 736,341,078.32
  5. Step 5: Solve for x
    x = 736,341,078.32/31,231.71
  6. Step 6: Final answer
    x = 23,576.71

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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.