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Finding the Fourth Proportional to 31,067.84, 42,872.28 and 16,920.80

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Solution

The fourth proportional to 31,067.84, 42,872.28 and 16,920.80 is: 23,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.84 : 42,872.28 = 16,920.80 : x
  2. Step 2: Convert to fraction form
    31,067.84/42,872.28 = 16,920.80/x
  3. Step 3: Cross multiply
    31,067.84x = 42,872.28 × 16,920.80
  4. Step 4: Simplify right side
    31,067.84x = 725,433,275.42
  5. Step 5: Solve for x
    x = 725,433,275.42/31,067.84
  6. Step 6: Final answer
    x = 23,349.97

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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.