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Finding the Fourth Proportional to 31,214.40, 43,076.01 and 17,067.24

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Solution

The fourth proportional to 31,214.40, 43,076.01 and 17,067.24 is: 23,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.40 : 43,076.01 = 17,067.24 : x
  2. Step 2: Convert to fraction form
    31,214.40/43,076.01 = 17,067.24/x
  3. Step 3: Cross multiply
    31,214.40x = 43,076.01 × 17,067.24
  4. Step 4: Simplify right side
    31,214.40x = 735,188,600.91
  5. Step 5: Solve for x
    x = 735,188,600.91/31,214.40
  6. Step 6: Final answer
    x = 23,552.87

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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.