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Finding the Fourth Proportional to 36,084.38, 49,797.34 and 20,171.48

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Solution

The fourth proportional to 36,084.38, 49,797.34 and 20,171.48 is: 27,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084.38 : 49,797.34 = 20,171.48 : x
  2. Step 2: Convert to fraction form
    36,084.38/49,797.34 = 20,171.48/x
  3. Step 3: Cross multiply
    36,084.38x = 49,797.34 × 20,171.48
  4. Step 4: Simplify right side
    36,084.38x = 1,004,485,748.45
  5. Step 5: Solve for x
    x = 1,004,485,748.45/36,084.38
  6. Step 6: Final answer
    x = 27,837.14

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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.