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Finding the Fourth Proportional to 36,944.68, 50,982.18 and 20,178.28

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Solution

The fourth proportional to 36,944.68, 50,982.18 and 20,178.28 is: 27,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,944.68 : 50,982.18 = 20,178.28 : x
  2. Step 2: Convert to fraction form
    36,944.68/50,982.18 = 20,178.28/x
  3. Step 3: Cross multiply
    36,944.68x = 50,982.18 × 20,178.28
  4. Step 4: Simplify right side
    36,944.68x = 1,028,732,703.05
  5. Step 5: Solve for x
    x = 1,028,732,703.05/36,944.68
  6. Step 6: Final answer
    x = 27,845.22

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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.