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Finding the Fourth Proportional to 106,910.78, 160,401.79 and 35,840.44

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Solution

The fourth proportional to 106,910.78, 160,401.79 and 35,840.44 is: 53,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,910.78 : 160,401.79 = 35,840.44 : x
  2. Step 2: Convert to fraction form
    106,910.78/160,401.79 = 35,840.44/x
  3. Step 3: Cross multiply
    106,910.78x = 160,401.79 × 35,840.44
  4. Step 4: Simplify right side
    106,910.78x = 5,748,870,975.69
  5. Step 5: Solve for x
    x = 5,748,870,975.69/106,910.78
  6. Step 6: Final answer
    x = 53,772.61

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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.