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Finding the Fourth Proportional to 36,084.36, 49,796.25 and 20,168.70

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Solution

The fourth proportional to 36,084.36, 49,796.25 and 20,168.70 is: 27,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084.36 : 49,796.25 = 20,168.70 : x
  2. Step 2: Convert to fraction form
    36,084.36/49,796.25 = 20,168.70/x
  3. Step 3: Cross multiply
    36,084.36x = 49,796.25 × 20,168.70
  4. Step 4: Simplify right side
    36,084.36x = 1,004,325,627.38
  5. Step 5: Solve for x
    x = 1,004,325,627.38/36,084.36
  6. Step 6: Final answer
    x = 27,832.71

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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.