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Finding the Fourth Proportional to 31,471.54, 43,429.77 and 17,324.28

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Solution

The fourth proportional to 31,471.54, 43,429.77 and 17,324.28 is: 23,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.54 : 43,429.77 = 17,324.28 : x
  2. Step 2: Convert to fraction form
    31,471.54/43,429.77 = 17,324.28/x
  3. Step 3: Cross multiply
    31,471.54x = 43,429.77 × 17,324.28
  4. Step 4: Simplify right side
    31,471.54x = 752,389,495.82
  5. Step 5: Solve for x
    x = 752,389,495.82/31,471.54
  6. Step 6: Final answer
    x = 23,906.98

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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.