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Finding the Fourth Proportional to 33,057.44, 49,586.16 and 8,433.44

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Solution

The fourth proportional to 33,057.44, 49,586.16 and 8,433.44 is: 12,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.44 : 49,586.16 = 8,433.44 : x
  2. Step 2: Convert to fraction form
    33,057.44/49,586.16 = 8,433.44/x
  3. Step 3: Cross multiply
    33,057.44x = 49,586.16 × 8,433.44
  4. Step 4: Simplify right side
    33,057.44x = 418,181,905.19
  5. Step 5: Solve for x
    x = 418,181,905.19/33,057.44
  6. Step 6: Final answer
    x = 12,650.16

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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.