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Finding the Fourth Proportional to 109,891.80, 164,816.10 and 36,019.80

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Solution

The fourth proportional to 109,891.80, 164,816.10 and 36,019.80 is: 54,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,891.80 : 164,816.10 = 36,019.80 : x
  2. Step 2: Convert to fraction form
    109,891.80/164,816.10 = 36,019.80/x
  3. Step 3: Cross multiply
    109,891.80x = 164,816.10 × 36,019.80
  4. Step 4: Simplify right side
    109,891.80x = 5,936,642,958.78
  5. Step 5: Solve for x
    x = 5,936,642,958.78/109,891.80
  6. Step 6: Final answer
    x = 54,022.62

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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.