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Finding the Fourth Proportional to 33,823.60, 50,735.40 and 17,234.80

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Solution

The fourth proportional to 33,823.60, 50,735.40 and 17,234.80 is: 25,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.60 : 50,735.40 = 17,234.80 : x
  2. Step 2: Convert to fraction form
    33,823.60/50,735.40 = 17,234.80/x
  3. Step 3: Cross multiply
    33,823.60x = 50,735.40 × 17,234.80
  4. Step 4: Simplify right side
    33,823.60x = 874,414,471.92
  5. Step 5: Solve for x
    x = 874,414,471.92/33,823.60
  6. Step 6: Final answer
    x = 25,852.20

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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.