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Finding the Fourth Proportional to 36,943.57, 50,982.12 and 20,176.57

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Solution

The fourth proportional to 36,943.57, 50,982.12 and 20,176.57 is: 27,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,943.57 : 50,982.12 = 20,176.57 : x
  2. Step 2: Convert to fraction form
    36,943.57/50,982.12 = 20,176.57/x
  3. Step 3: Cross multiply
    36,943.57x = 50,982.12 × 20,176.57
  4. Step 4: Simplify right side
    36,943.57x = 1,028,644,312.93
  5. Step 5: Solve for x
    x = 1,028,644,312.93/36,943.57
  6. Step 6: Final answer
    x = 27,843.66

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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.