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Finding the Fourth Proportional to 51,253.35, 76,879.56 and 16,193

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Solution

The fourth proportional to 51,253.35, 76,879.56 and 16,193 is: 24,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253.35 : 76,879.56 = 16,193 : x
  2. Step 2: Convert to fraction form
    51,253.35/76,879.56 = 16,193/x
  3. Step 3: Cross multiply
    51,253.35x = 76,879.56 × 16,193
  4. Step 4: Simplify right side
    51,253.35x = 1,244,910,715.08
  5. Step 5: Solve for x
    x = 1,244,910,715.08/51,253.35
  6. Step 6: Final answer
    x = 24,289.35

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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.