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Finding the Fourth Proportional to 40,401, 55,757.70 and 23,648.04

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Solution

The fourth proportional to 40,401, 55,757.70 and 23,648.04 is: 32,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,401 : 55,757.70 = 23,648.04 : x
  2. Step 2: Convert to fraction form
    40,401/55,757.70 = 23,648.04/x
  3. Step 3: Cross multiply
    40,401x = 55,757.70 × 23,648.04
  4. Step 4: Simplify right side
    40,401x = 1,318,560,319.91
  5. Step 5: Solve for x
    x = 1,318,560,319.91/40,401
  6. Step 6: Final answer
    x = 32,636.82

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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.