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Finding the Fourth Proportional to 31,108.25, 42,930.07 and 16,961.15

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Solution

The fourth proportional to 31,108.25, 42,930.07 and 16,961.15 is: 23,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.25 : 42,930.07 = 16,961.15 : x
  2. Step 2: Convert to fraction form
    31,108.25/42,930.07 = 16,961.15/x
  3. Step 3: Cross multiply
    31,108.25x = 42,930.07 × 16,961.15
  4. Step 4: Simplify right side
    31,108.25x = 728,143,271.97
  5. Step 5: Solve for x
    x = 728,143,271.97/31,108.25
  6. Step 6: Final answer
    x = 23,406.76

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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.