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Finding the Fourth Proportional to 31,431.57, 43,375.71 and 17,091.54

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Solution

The fourth proportional to 31,431.57, 43,375.71 and 17,091.54 is: 23,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.57 : 43,375.71 = 17,091.54 : x
  2. Step 2: Convert to fraction form
    31,431.57/43,375.71 = 17,091.54/x
  3. Step 3: Cross multiply
    31,431.57x = 43,375.71 × 17,091.54
  4. Step 4: Simplify right side
    31,431.57x = 741,357,682.49
  5. Step 5: Solve for x
    x = 741,357,682.49/31,431.57
  6. Step 6: Final answer
    x = 23,586.40

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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.