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Finding the Fourth Proportional to 32,836, 49,254 and 8,212

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Solution

The fourth proportional to 32,836, 49,254 and 8,212 is: 12,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,836 : 49,254 = 8,212 : x
  2. Step 2: Convert to fraction form
    32,836/49,254 = 8,212/x
  3. Step 3: Cross multiply
    32,836x = 49,254 × 8,212
  4. Step 4: Simplify right side
    32,836x = 404,473,848
  5. Step 5: Solve for x
    x = 404,473,848/32,836
  6. Step 6: Final answer
    x = 12,318

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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.