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Finding the Fourth Proportional to 33,198.03, 49,797 and 15,418.95

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Solution

The fourth proportional to 33,198.03, 49,797 and 15,418.95 is: 23,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.03 : 49,797 = 15,418.95 : x
  2. Step 2: Convert to fraction form
    33,198.03/49,797 = 15,418.95/x
  3. Step 3: Cross multiply
    33,198.03x = 49,797 × 15,418.95
  4. Step 4: Simplify right side
    33,198.03x = 767,817,453.15
  5. Step 5: Solve for x
    x = 767,817,453.15/33,198.03
  6. Step 6: Final answer
    x = 23,128.40

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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.