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Finding the Fourth Proportional to 33,605.16, 50,408.24 and 8,644.65

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Solution

The fourth proportional to 33,605.16, 50,408.24 and 8,644.65 is: 12,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,605.16 : 50,408.24 = 8,644.65 : x
  2. Step 2: Convert to fraction form
    33,605.16/50,408.24 = 8,644.65/x
  3. Step 3: Cross multiply
    33,605.16x = 50,408.24 × 8,644.65
  4. Step 4: Simplify right side
    33,605.16x = 435,761,548.69
  5. Step 5: Solve for x
    x = 435,761,548.69/33,605.16
  6. Step 6: Final answer
    x = 12,967.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.