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Finding the Fourth Proportional to 31,851.90, 43,965.99 and 22,422.78

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Solution

The fourth proportional to 31,851.90, 43,965.99 and 22,422.78 is: 30,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.90 : 43,965.99 = 22,422.78 : x
  2. Step 2: Convert to fraction form
    31,851.90/43,965.99 = 22,422.78/x
  3. Step 3: Cross multiply
    31,851.90x = 43,965.99 × 22,422.78
  4. Step 4: Simplify right side
    31,851.90x = 985,839,721.25
  5. Step 5: Solve for x
    x = 985,839,721.25/31,851.90
  6. Step 6: Final answer
    x = 30,950.74

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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.