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Finding the Fourth Proportional to 27,241.96, 40,806.24 and 26,302

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Solution

The fourth proportional to 27,241.96, 40,806.24 and 26,302 is: 39,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.96 : 40,806.24 = 26,302 : x
  2. Step 2: Convert to fraction form
    27,241.96/40,806.24 = 26,302/x
  3. Step 3: Cross multiply
    27,241.96x = 40,806.24 × 26,302
  4. Step 4: Simplify right side
    27,241.96x = 1,073,285,724.48
  5. Step 5: Solve for x
    x = 1,073,285,724.48/27,241.96
  6. Step 6: Final answer
    x = 39,398.26

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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.