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Finding the Fourth Proportional to 36,802, 50,786.80 and 20,035.04

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Solution

The fourth proportional to 36,802, 50,786.80 and 20,035.04 is: 27,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802 : 50,786.80 = 20,035.04 : x
  2. Step 2: Convert to fraction form
    36,802/50,786.80 = 20,035.04/x
  3. Step 3: Cross multiply
    36,802x = 50,786.80 × 20,035.04
  4. Step 4: Simplify right side
    36,802x = 1,017,515,569.47
  5. Step 5: Solve for x
    x = 1,017,515,569.47/36,802
  6. Step 6: Final answer
    x = 27,648.38

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1.5x scale

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.