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Finding the Fourth Proportional to 28,974.80, 43,461.76 and 8,198.28

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Solution

The fourth proportional to 28,974.80, 43,461.76 and 8,198.28 is: 12,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,974.80 : 43,461.76 = 8,198.28 : x
  2. Step 2: Convert to fraction form
    28,974.80/43,461.76 = 8,198.28/x
  3. Step 3: Cross multiply
    28,974.80x = 43,461.76 × 8,198.28
  4. Step 4: Simplify right side
    28,974.80x = 356,311,677.77
  5. Step 5: Solve for x
    x = 356,311,677.77/28,974.80
  6. Step 6: Final answer
    x = 12,297.30

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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.