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Finding the Fourth Proportional to 31,012.29, 42,796.67 and 16,865.25

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Solution

The fourth proportional to 31,012.29, 42,796.67 and 16,865.25 is: 23,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.29 : 42,796.67 = 16,865.25 : x
  2. Step 2: Convert to fraction form
    31,012.29/42,796.67 = 16,865.25/x
  3. Step 3: Cross multiply
    31,012.29x = 42,796.67 × 16,865.25
  4. Step 4: Simplify right side
    31,012.29x = 721,776,454.39
  5. Step 5: Solve for x
    x = 721,776,454.39/31,012.29
  6. Step 6: Final answer
    x = 23,273.88

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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.