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Finding the Fourth Proportional to 36,149.26, 49,889.10 and 20,233.48

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Solution

The fourth proportional to 36,149.26, 49,889.10 and 20,233.48 is: 27,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149.26 : 49,889.10 = 20,233.48 : x
  2. Step 2: Convert to fraction form
    36,149.26/49,889.10 = 20,233.48/x
  3. Step 3: Cross multiply
    36,149.26x = 49,889.10 × 20,233.48
  4. Step 4: Simplify right side
    36,149.26x = 1,009,430,107.07
  5. Step 5: Solve for x
    x = 1,009,430,107.07/36,149.26
  6. Step 6: Final answer
    x = 27,923.95

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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.