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Finding the Fourth Proportional to 106,778.77, 160,169.70 and 27,893

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Solution

The fourth proportional to 106,778.77, 160,169.70 and 27,893 is: 41,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,778.77 : 160,169.70 = 27,893 : x
  2. Step 2: Convert to fraction form
    106,778.77/160,169.70 = 27,893/x
  3. Step 3: Cross multiply
    106,778.77x = 160,169.70 × 27,893
  4. Step 4: Simplify right side
    106,778.77x = 4,467,613,442.10
  5. Step 5: Solve for x
    x = 4,467,613,442.10/106,778.77
  6. Step 6: Final answer
    x = 41,839.91

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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.