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Finding the Fourth Proportional to 31,780.92, 43,857 and 17,633.46

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Solution

The fourth proportional to 31,780.92, 43,857 and 17,633.46 is: 24,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.92 : 43,857 = 17,633.46 : x
  2. Step 2: Convert to fraction form
    31,780.92/43,857 = 17,633.46/x
  3. Step 3: Cross multiply
    31,780.92x = 43,857 × 17,633.46
  4. Step 4: Simplify right side
    31,780.92x = 773,350,655.22
  5. Step 5: Solve for x
    x = 773,350,655.22/31,780.92
  6. Step 6: Final answer
    x = 24,333.80

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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.