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Finding the Fourth Proportional to 43,638, 60,221.08 and 23,766

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Solution

The fourth proportional to 43,638, 60,221.08 and 23,766 is: 32,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 60,221.08 = 23,766 : x
  2. Step 2: Convert to fraction form
    43,638/60,221.08 = 23,766/x
  3. Step 3: Cross multiply
    43,638x = 60,221.08 × 23,766
  4. Step 4: Simplify right side
    43,638x = 1,431,214,187.28
  5. Step 5: Solve for x
    x = 1,431,214,187.28/43,638
  6. Step 6: Final answer
    x = 32,797.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.