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Finding the Fourth Proportional to 32,790, 49,185 and 8,166

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Solution

The fourth proportional to 32,790, 49,185 and 8,166 is: 12,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,790 : 49,185 = 8,166 : x
  2. Step 2: Convert to fraction form
    32,790/49,185 = 8,166/x
  3. Step 3: Cross multiply
    32,790x = 49,185 × 8,166
  4. Step 4: Simplify right side
    32,790x = 401,644,710
  5. Step 5: Solve for x
    x = 401,644,710/32,790
  6. Step 6: Final answer
    x = 12,249

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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.