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Finding the Fourth Proportional to 83,736, 125,622.48 and 27,593.40

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Solution

The fourth proportional to 83,736, 125,622.48 and 27,593.40 is: 41,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,736 : 125,622.48 = 27,593.40 : x
  2. Step 2: Convert to fraction form
    83,736/125,622.48 = 27,593.40/x
  3. Step 3: Cross multiply
    83,736x = 125,622.48 × 27,593.40
  4. Step 4: Simplify right side
    83,736x = 3,466,351,339.63
  5. Step 5: Solve for x
    x = 3,466,351,339.63/83,736
  6. Step 6: Final answer
    x = 41,396.19

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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.