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Finding the Fourth Proportional to 69,446.08, 104,172 and 20,198.08

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Solution

The fourth proportional to 69,446.08, 104,172 and 20,198.08 is: 30,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,446.08 : 104,172 = 20,198.08 : x
  2. Step 2: Convert to fraction form
    69,446.08/104,172 = 20,198.08/x
  3. Step 3: Cross multiply
    69,446.08x = 104,172 × 20,198.08
  4. Step 4: Simplify right side
    69,446.08x = 2,104,074,389.76
  5. Step 5: Solve for x
    x = 2,104,074,389.76/69,446.08
  6. Step 6: Final answer
    x = 30,297.96

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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.