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Finding the Fourth Proportional to 31,067.28, 42,873.84 and 16,920.36

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Solution

The fourth proportional to 31,067.28, 42,873.84 and 16,920.36 is: 23,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.28 : 42,873.84 = 16,920.36 : x
  2. Step 2: Convert to fraction form
    31,067.28/42,873.84 = 16,920.36/x
  3. Step 3: Cross multiply
    31,067.28x = 42,873.84 × 16,920.36
  4. Step 4: Simplify right side
    31,067.28x = 725,440,807.38
  5. Step 5: Solve for x
    x = 725,440,807.38/31,067.28
  6. Step 6: Final answer
    x = 23,350.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.