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Finding the Fourth Proportional to 31,067.30, 42,872.81 and 16,920.24

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Solution

The fourth proportional to 31,067.30, 42,872.81 and 16,920.24 is: 23,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.30 : 42,872.81 = 16,920.24 : x
  2. Step 2: Convert to fraction form
    31,067.30/42,872.81 = 16,920.24/x
  3. Step 3: Cross multiply
    31,067.30x = 42,872.81 × 16,920.24
  4. Step 4: Simplify right side
    31,067.30x = 725,418,150.07
  5. Step 5: Solve for x
    x = 725,418,150.07/31,067.30
  6. Step 6: Final answer
    x = 23,349.90

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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.