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Finding the Fourth Proportional to 36,007.38, 49,692.58 and 20,092.16

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Solution

The fourth proportional to 36,007.38, 49,692.58 and 20,092.16 is: 27,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007.38 : 49,692.58 = 20,092.16 : x
  2. Step 2: Convert to fraction form
    36,007.38/49,692.58 = 20,092.16/x
  3. Step 3: Cross multiply
    36,007.38x = 49,692.58 × 20,092.16
  4. Step 4: Simplify right side
    36,007.38x = 998,431,268.17
  5. Step 5: Solve for x
    x = 998,431,268.17/36,007.38
  6. Step 6: Final answer
    x = 27,728.52

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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.