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Finding the Fourth Proportional to 31,469, 43,427.22 and 17,321.78

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Solution

The fourth proportional to 31,469, 43,427.22 and 17,321.78 is: 23,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469 : 43,427.22 = 17,321.78 : x
  2. Step 2: Convert to fraction form
    31,469/43,427.22 = 17,321.78/x
  3. Step 3: Cross multiply
    31,469x = 43,427.22 × 17,321.78
  4. Step 4: Simplify right side
    31,469x = 752,236,750.85
  5. Step 5: Solve for x
    x = 752,236,750.85/31,469
  6. Step 6: Final answer
    x = 23,904.06

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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.