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Finding the Fourth Proportional to 33,524.02, 50,286 and 8,564.08

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Solution

The fourth proportional to 33,524.02, 50,286 and 8,564.08 is: 12,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.02 : 50,286 = 8,564.08 : x
  2. Step 2: Convert to fraction form
    33,524.02/50,286 = 8,564.08/x
  3. Step 3: Cross multiply
    33,524.02x = 50,286 × 8,564.08
  4. Step 4: Simplify right side
    33,524.02x = 430,653,326.88
  5. Step 5: Solve for x
    x = 430,653,326.88/33,524.02
  6. Step 6: Final answer
    x = 12,846.11

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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.