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Finding the Fourth Proportional to 109,972.80, 164,937.60 and 36,100.80

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Solution

The fourth proportional to 109,972.80, 164,937.60 and 36,100.80 is: 54,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,972.80 : 164,937.60 = 36,100.80 : x
  2. Step 2: Convert to fraction form
    109,972.80/164,937.60 = 36,100.80/x
  3. Step 3: Cross multiply
    109,972.80x = 164,937.60 × 36,100.80
  4. Step 4: Simplify right side
    109,972.80x = 5,954,379,310.08
  5. Step 5: Solve for x
    x = 5,954,379,310.08/109,972.80
  6. Step 6: Final answer
    x = 54,144.11

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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.