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Finding the Fourth Proportional to 109,954.80, 164,910.60 and 36,082.80

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Solution

The fourth proportional to 109,954.80, 164,910.60 and 36,082.80 is: 54,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954.80 : 164,910.60 = 36,082.80 : x
  2. Step 2: Convert to fraction form
    109,954.80/164,910.60 = 36,082.80/x
  3. Step 3: Cross multiply
    109,954.80x = 164,910.60 × 36,082.80
  4. Step 4: Simplify right side
    109,954.80x = 5,950,436,197.68
  5. Step 5: Solve for x
    x = 5,950,436,197.68/109,954.80
  6. Step 6: Final answer
    x = 54,117.11

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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.