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Finding the Fourth Proportional to 36,802, 50,786.96 and 20,035

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Solution

The fourth proportional to 36,802, 50,786.96 and 20,035 is: 27,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802 : 50,786.96 = 20,035 : x
  2. Step 2: Convert to fraction form
    36,802/50,786.96 = 20,035/x
  3. Step 3: Cross multiply
    36,802x = 50,786.96 × 20,035
  4. Step 4: Simplify right side
    36,802x = 1,017,516,743.60
  5. Step 5: Solve for x
    x = 1,017,516,743.60/36,802
  6. Step 6: Final answer
    x = 27,648.41

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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.