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Finding the Fourth Proportional to 53,471.56, 80,162.22 and 33,706.54

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Solution

The fourth proportional to 53,471.56, 80,162.22 and 33,706.54 is: 50,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.56 : 80,162.22 = 33,706.54 : x
  2. Step 2: Convert to fraction form
    53,471.56/80,162.22 = 33,706.54/x
  3. Step 3: Cross multiply
    53,471.56x = 80,162.22 × 33,706.54
  4. Step 4: Simplify right side
    53,471.56x = 2,701,991,074.92
  5. Step 5: Solve for x
    x = 2,701,991,074.92/53,471.56
  6. Step 6: Final answer
    x = 50,531.37

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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.