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Finding the Fourth Proportional to 32,789, 49,183.68 and 8,165

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Solution

The fourth proportional to 32,789, 49,183.68 and 8,165 is: 12,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,789 : 49,183.68 = 8,165 : x
  2. Step 2: Convert to fraction form
    32,789/49,183.68 = 8,165/x
  3. Step 3: Cross multiply
    32,789x = 49,183.68 × 8,165
  4. Step 4: Simplify right side
    32,789x = 401,584,747.20
  5. Step 5: Solve for x
    x = 401,584,747.20/32,789
  6. Step 6: Final answer
    x = 12,247.54

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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.