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Finding the Fourth Proportional to 31,086.72, 42,871.68 and 19,906.56

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Solution

The fourth proportional to 31,086.72, 42,871.68 and 19,906.56 is: 27,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.72 : 42,871.68 = 19,906.56 : x
  2. Step 2: Convert to fraction form
    31,086.72/42,871.68 = 19,906.56/x
  3. Step 3: Cross multiply
    31,086.72x = 42,871.68 × 19,906.56
  4. Step 4: Simplify right side
    31,086.72x = 853,427,670.22
  5. Step 5: Solve for x
    x = 853,427,670.22/31,086.72
  6. Step 6: Final answer
    x = 27,453.13

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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.