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Finding the Fourth Proportional to 36,846, 55,269.36 and 9,144

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Solution

The fourth proportional to 36,846, 55,269.36 and 9,144 is: 13,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846 : 55,269.36 = 9,144 : x
  2. Step 2: Convert to fraction form
    36,846/55,269.36 = 9,144/x
  3. Step 3: Cross multiply
    36,846x = 55,269.36 × 9,144
  4. Step 4: Simplify right side
    36,846x = 505,383,027.84
  5. Step 5: Solve for x
    x = 505,383,027.84/36,846
  6. Step 6: Final answer
    x = 13,716.09

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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.