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Finding the Fourth Proportional to 32,736, 49,104 and 8,112

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Solution

The fourth proportional to 32,736, 49,104 and 8,112 is: 12,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,736 : 49,104 = 8,112 : x
  2. Step 2: Convert to fraction form
    32,736/49,104 = 8,112/x
  3. Step 3: Cross multiply
    32,736x = 49,104 × 8,112
  4. Step 4: Simplify right side
    32,736x = 398,331,648
  5. Step 5: Solve for x
    x = 398,331,648/32,736
  6. Step 6: Final answer
    x = 12,168

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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.