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Finding the Fourth Proportional to 32,806, 49,209.18 and 8,182

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Solution

The fourth proportional to 32,806, 49,209.18 and 8,182 is: 12,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806 : 49,209.18 = 8,182 : x
  2. Step 2: Convert to fraction form
    32,806/49,209.18 = 8,182/x
  3. Step 3: Cross multiply
    32,806x = 49,209.18 × 8,182
  4. Step 4: Simplify right side
    32,806x = 402,629,510.76
  5. Step 5: Solve for x
    x = 402,629,510.76/32,806
  6. Step 6: Final answer
    x = 12,273.04

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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.