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Finding the Fourth Proportional to 31,781.76, 43,856.88 and 17,633.76

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Solution

The fourth proportional to 31,781.76, 43,856.88 and 17,633.76 is: 24,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.76 : 43,856.88 = 17,633.76 : x
  2. Step 2: Convert to fraction form
    31,781.76/43,856.88 = 17,633.76/x
  3. Step 3: Cross multiply
    31,781.76x = 43,856.88 × 17,633.76
  4. Step 4: Simplify right side
    31,781.76x = 773,361,696.27
  5. Step 5: Solve for x
    x = 773,361,696.27/31,781.76
  6. Step 6: Final answer
    x = 24,333.51

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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.