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Finding the Fourth Proportional to 33,157.29, 49,734.34 and 8,197.24

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Solution

The fourth proportional to 33,157.29, 49,734.34 and 8,197.24 is: 12,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.29 : 49,734.34 = 8,197.24 : x
  2. Step 2: Convert to fraction form
    33,157.29/49,734.34 = 8,197.24/x
  3. Step 3: Cross multiply
    33,157.29x = 49,734.34 × 8,197.24
  4. Step 4: Simplify right side
    33,157.29x = 407,684,321.22
  5. Step 5: Solve for x
    x = 407,684,321.22/33,157.29
  6. Step 6: Final answer
    x = 12,295.47

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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.