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Finding the Fourth Proportional to 32,930, 49,395 and 8,306

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Solution

The fourth proportional to 32,930, 49,395 and 8,306 is: 12,459

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930 : 49,395 = 8,306 : x
  2. Step 2: Convert to fraction form
    32,930/49,395 = 8,306/x
  3. Step 3: Cross multiply
    32,930x = 49,395 × 8,306
  4. Step 4: Simplify right side
    32,930x = 410,274,870
  5. Step 5: Solve for x
    x = 410,274,870/32,930
  6. Step 6: Final answer
    x = 12,459

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.