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Finding the Fourth Proportional to 33,648.45, 50,474.07 and 12,586.29

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Solution

The fourth proportional to 33,648.45, 50,474.07 and 12,586.29 is: 18,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648.45 : 50,474.07 = 12,586.29 : x
  2. Step 2: Convert to fraction form
    33,648.45/50,474.07 = 12,586.29/x
  3. Step 3: Cross multiply
    33,648.45x = 50,474.07 × 12,586.29
  4. Step 4: Simplify right side
    33,648.45x = 635,281,282.50
  5. Step 5: Solve for x
    x = 635,281,282.50/33,648.45
  6. Step 6: Final answer
    x = 18,879.96

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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.