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Finding the Fourth Proportional to 26,828, 40,268.49 and 20,141.25

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Solution

The fourth proportional to 26,828, 40,268.49 and 20,141.25 is: 30,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,828 : 40,268.49 = 20,141.25 : x
  2. Step 2: Convert to fraction form
    26,828/40,268.49 = 20,141.25/x
  3. Step 3: Cross multiply
    26,828x = 40,268.49 × 20,141.25
  4. Step 4: Simplify right side
    26,828x = 811,057,724.21
  5. Step 5: Solve for x
    x = 811,057,724.21/26,828
  6. Step 6: Final answer
    x = 30,231.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.