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Finding the Fourth Proportional to 31,682, 43,721.16 and 18,434

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Solution

The fourth proportional to 31,682, 43,721.16 and 18,434 is: 25,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682 : 43,721.16 = 18,434 : x
  2. Step 2: Convert to fraction form
    31,682/43,721.16 = 18,434/x
  3. Step 3: Cross multiply
    31,682x = 43,721.16 × 18,434
  4. Step 4: Simplify right side
    31,682x = 805,955,863.44
  5. Step 5: Solve for x
    x = 805,955,863.44/31,682
  6. Step 6: Final answer
    x = 25,438.92

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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.