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Finding the Fourth Proportional to 31,067.65, 42,822.14 and 21,981.27

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Solution

The fourth proportional to 31,067.65, 42,822.14 and 21,981.27 is: 30,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.65 : 42,822.14 = 21,981.27 : x
  2. Step 2: Convert to fraction form
    31,067.65/42,822.14 = 21,981.27/x
  3. Step 3: Cross multiply
    31,067.65x = 42,822.14 × 21,981.27
  4. Step 4: Simplify right side
    31,067.65x = 941,285,257.46
  5. Step 5: Solve for x
    x = 941,285,257.46/31,067.65
  6. Step 6: Final answer
    x = 30,297.92

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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.