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Finding the Fourth Proportional to 26,629, 39,943.50 and 8,161

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Solution

The fourth proportional to 26,629, 39,943.50 and 8,161 is: 12,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,629 : 39,943.50 = 8,161 : x
  2. Step 2: Convert to fraction form
    26,629/39,943.50 = 8,161/x
  3. Step 3: Cross multiply
    26,629x = 39,943.50 × 8,161
  4. Step 4: Simplify right side
    26,629x = 325,978,903.50
  5. Step 5: Solve for x
    x = 325,978,903.50/26,629
  6. Step 6: Final answer
    x = 12,241.50

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Why These Related Problems?

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