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Finding the Fourth Proportional to 35,198.63, 52,797.38 and 8,544.83

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Solution

The fourth proportional to 35,198.63, 52,797.38 and 8,544.83 is: 12,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.63 : 52,797.38 = 8,544.83 : x
  2. Step 2: Convert to fraction form
    35,198.63/52,797.38 = 8,544.83/x
  3. Step 3: Cross multiply
    35,198.63x = 52,797.38 × 8,544.83
  4. Step 4: Simplify right side
    35,198.63x = 451,144,789.90
  5. Step 5: Solve for x
    x = 451,144,789.90/35,198.63
  6. Step 6: Final answer
    x = 12,817.11

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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.