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Finding the Fourth Proportional to 31,669.41, 43,701.98 and 17,521.41

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Solution

The fourth proportional to 31,669.41, 43,701.98 and 17,521.41 is: 24,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.41 : 43,701.98 = 17,521.41 : x
  2. Step 2: Convert to fraction form
    31,669.41/43,701.98 = 17,521.41/x
  3. Step 3: Cross multiply
    31,669.41x = 43,701.98 × 17,521.41
  4. Step 4: Simplify right side
    31,669.41x = 765,720,221.78
  5. Step 5: Solve for x
    x = 765,720,221.78/31,669.41
  6. Step 6: Final answer
    x = 24,178.54

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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.