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Finding the Fourth Proportional to 31,057.43, 42,857.91 and 16,910.37

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Solution

The fourth proportional to 31,057.43, 42,857.91 and 16,910.37 is: 23,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.43 : 42,857.91 = 16,910.37 : x
  2. Step 2: Convert to fraction form
    31,057.43/42,857.91 = 16,910.37/x
  3. Step 3: Cross multiply
    31,057.43x = 42,857.91 × 16,910.37
  4. Step 4: Simplify right side
    31,057.43x = 724,743,115.53
  5. Step 5: Solve for x
    x = 724,743,115.53/31,057.43
  6. Step 6: Final answer
    x = 23,335.58

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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.