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Finding the Fourth Proportional to 106,469.37, 159,704.06 and 27,583.61

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Solution

The fourth proportional to 106,469.37, 159,704.06 and 27,583.61 is: 41,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469.37 : 159,704.06 = 27,583.61 : x
  2. Step 2: Convert to fraction form
    106,469.37/159,704.06 = 27,583.61/x
  3. Step 3: Cross multiply
    106,469.37x = 159,704.06 × 27,583.61
  4. Step 4: Simplify right side
    106,469.37x = 4,405,213,570.02
  5. Step 5: Solve for x
    x = 4,405,213,570.02/106,469.37
  6. Step 6: Final answer
    x = 41,375.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.