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Finding the Fourth Proportional to 31,229.65, 43,097.25 and 17,082.19

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Solution

The fourth proportional to 31,229.65, 43,097.25 and 17,082.19 is: 23,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.65 : 43,097.25 = 17,082.19 : x
  2. Step 2: Convert to fraction form
    31,229.65/43,097.25 = 17,082.19/x
  3. Step 3: Cross multiply
    31,229.65x = 43,097.25 × 17,082.19
  4. Step 4: Simplify right side
    31,229.65x = 736,195,412.98
  5. Step 5: Solve for x
    x = 736,195,412.98/31,229.65
  6. Step 6: Final answer
    x = 23,573.60

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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.