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Finding the Fourth Proportional to 34,388.38, 51,580.45 and 12,198.84

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Solution

The fourth proportional to 34,388.38, 51,580.45 and 12,198.84 is: 18,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,388.38 : 51,580.45 = 12,198.84 : x
  2. Step 2: Convert to fraction form
    34,388.38/51,580.45 = 12,198.84/x
  3. Step 3: Cross multiply
    34,388.38x = 51,580.45 × 12,198.84
  4. Step 4: Simplify right side
    34,388.38x = 629,221,409.88
  5. Step 5: Solve for x
    x = 629,221,409.88/34,388.38
  6. Step 6: Final answer
    x = 18,297.50

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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.