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Finding the Fourth Proportional to 36,498.80, 54,744.15 and 10,206.20

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Solution

The fourth proportional to 36,498.80, 54,744.15 and 10,206.20 is: 15,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498.80 : 54,744.15 = 10,206.20 : x
  2. Step 2: Convert to fraction form
    36,498.80/54,744.15 = 10,206.20/x
  3. Step 3: Cross multiply
    36,498.80x = 54,744.15 × 10,206.20
  4. Step 4: Simplify right side
    36,498.80x = 558,729,743.73
  5. Step 5: Solve for x
    x = 558,729,743.73/36,498.80
  6. Step 6: Final answer
    x = 15,308.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.