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Finding the Fourth Proportional to 33,471.96, 50,104.26 and 19,647.96

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Solution

The fourth proportional to 33,471.96, 50,104.26 and 19,647.96 is: 29,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.96 : 50,104.26 = 19,647.96 : x
  2. Step 2: Convert to fraction form
    33,471.96/50,104.26 = 19,647.96/x
  3. Step 3: Cross multiply
    33,471.96x = 50,104.26 × 19,647.96
  4. Step 4: Simplify right side
    33,471.96x = 984,446,496.31
  5. Step 5: Solve for x
    x = 984,446,496.31/33,471.96
  6. Step 6: Final answer
    x = 29,411.08

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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.