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Finding the Fourth Proportional to 31,090.82, 42,906.24 and 16,944.56

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Solution

The fourth proportional to 31,090.82, 42,906.24 and 16,944.56 is: 23,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.82 : 42,906.24 = 16,944.56 : x
  2. Step 2: Convert to fraction form
    31,090.82/42,906.24 = 16,944.56/x
  3. Step 3: Cross multiply
    31,090.82x = 42,906.24 × 16,944.56
  4. Step 4: Simplify right side
    31,090.82x = 727,027,358.05
  5. Step 5: Solve for x
    x = 727,027,358.05/31,090.82
  6. Step 6: Final answer
    x = 23,383.99

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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.