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Finding the Fourth Proportional to 32,816, 49,224 and 8,192

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Solution

The fourth proportional to 32,816, 49,224 and 8,192 is: 12,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816 : 49,224 = 8,192 : x
  2. Step 2: Convert to fraction form
    32,816/49,224 = 8,192/x
  3. Step 3: Cross multiply
    32,816x = 49,224 × 8,192
  4. Step 4: Simplify right side
    32,816x = 403,243,008
  5. Step 5: Solve for x
    x = 403,243,008/32,816
  6. Step 6: Final answer
    x = 12,288

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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.