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Finding the Fourth Proportional to 33,568.50, 50,352.93 and 8,944.50

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Solution

The fourth proportional to 33,568.50, 50,352.93 and 8,944.50 is: 13,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,568.50 : 50,352.93 = 8,944.50 : x
  2. Step 2: Convert to fraction form
    33,568.50/50,352.93 = 8,944.50/x
  3. Step 3: Cross multiply
    33,568.50x = 50,352.93 × 8,944.50
  4. Step 4: Simplify right side
    33,568.50x = 450,381,782.39
  5. Step 5: Solve for x
    x = 450,381,782.39/33,568.50
  6. Step 6: Final answer
    x = 13,416.80

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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.