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Finding the Fourth Proportional to 36,760.27, 50,705 and 29,194.62

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Solution

The fourth proportional to 36,760.27, 50,705 and 29,194.62 is: 40,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,760.27 : 50,705 = 29,194.62 : x
  2. Step 2: Convert to fraction form
    36,760.27/50,705 = 29,194.62/x
  3. Step 3: Cross multiply
    36,760.27x = 50,705 × 29,194.62
  4. Step 4: Simplify right side
    36,760.27x = 1,480,313,207.10
  5. Step 5: Solve for x
    x = 1,480,313,207.10/36,760.27
  6. Step 6: Final answer
    x = 40,269.38

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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.