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Finding the Fourth Proportional to 106,745.88, 160,100.62 and 35,660.46

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Solution

The fourth proportional to 106,745.88, 160,100.62 and 35,660.46 is: 53,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,745.88 : 160,100.62 = 35,660.46 : x
  2. Step 2: Convert to fraction form
    106,745.88/160,100.62 = 35,660.46/x
  3. Step 3: Cross multiply
    106,745.88x = 160,100.62 × 35,660.46
  4. Step 4: Simplify right side
    106,745.88x = 5,709,261,755.49
  5. Step 5: Solve for x
    x = 5,709,261,755.49/106,745.88
  6. Step 6: Final answer
    x = 53,484.61

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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.