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Finding the Fourth Proportional to 33,482.54, 50,224.10 and 8,522.61

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Solution

The fourth proportional to 33,482.54, 50,224.10 and 8,522.61 is: 12,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482.54 : 50,224.10 = 8,522.61 : x
  2. Step 2: Convert to fraction form
    33,482.54/50,224.10 = 8,522.61/x
  3. Step 3: Cross multiply
    33,482.54x = 50,224.10 × 8,522.61
  4. Step 4: Simplify right side
    33,482.54x = 428,040,416.90
  5. Step 5: Solve for x
    x = 428,040,416.90/33,482.54
  6. Step 6: Final answer
    x = 12,783.99

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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.