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Finding the Fourth Proportional to 31,121.96, 42,940.68 and 17,690

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Solution

The fourth proportional to 31,121.96, 42,940.68 and 17,690 is: 24,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121.96 : 42,940.68 = 17,690 : x
  2. Step 2: Convert to fraction form
    31,121.96/42,940.68 = 17,690/x
  3. Step 3: Cross multiply
    31,121.96x = 42,940.68 × 17,690
  4. Step 4: Simplify right side
    31,121.96x = 759,620,629.20
  5. Step 5: Solve for x
    x = 759,620,629.20/31,121.96
  6. Step 6: Final answer
    x = 24,407.87

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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.