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Finding the Fourth Proportional to 36,782.34, 50,759.85 and 20,015.46

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Solution

The fourth proportional to 36,782.34, 50,759.85 and 20,015.46 is: 27,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.34 : 50,759.85 = 20,015.46 : x
  2. Step 2: Convert to fraction form
    36,782.34/50,759.85 = 20,015.46/x
  3. Step 3: Cross multiply
    36,782.34x = 50,759.85 × 20,015.46
  4. Step 4: Simplify right side
    36,782.34x = 1,015,981,747.28
  5. Step 5: Solve for x
    x = 1,015,981,747.28/36,782.34
  6. Step 6: Final answer
    x = 27,621.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.