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Finding the Fourth Proportional to 36,149.74, 49,887.69 and 20,233.78

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Solution

The fourth proportional to 36,149.74, 49,887.69 and 20,233.78 is: 27,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149.74 : 49,887.69 = 20,233.78 : x
  2. Step 2: Convert to fraction form
    36,149.74/49,887.69 = 20,233.78/x
  3. Step 3: Cross multiply
    36,149.74x = 49,887.69 × 20,233.78
  4. Step 4: Simplify right side
    36,149.74x = 1,009,416,544.17
  5. Step 5: Solve for x
    x = 1,009,416,544.17/36,149.74
  6. Step 6: Final answer
    x = 27,923.20

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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.