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Finding the Fourth Proportional to 36,047.38, 49,738.16 and 20,129.38

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Solution

The fourth proportional to 36,047.38, 49,738.16 and 20,129.38 is: 27,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047.38 : 49,738.16 = 20,129.38 : x
  2. Step 2: Convert to fraction form
    36,047.38/49,738.16 = 20,129.38/x
  3. Step 3: Cross multiply
    36,047.38x = 49,738.16 × 20,129.38
  4. Step 4: Simplify right side
    36,047.38x = 1,001,198,323.14
  5. Step 5: Solve for x
    x = 1,001,198,323.14/36,047.38
  6. Step 6: Final answer
    x = 27,774.51

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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.