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Finding the Fourth Proportional to 34,912.65, 48,208.49 and 32,380

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Solution

The fourth proportional to 34,912.65, 48,208.49 and 32,380 is: 44,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912.65 : 48,208.49 = 32,380 : x
  2. Step 2: Convert to fraction form
    34,912.65/48,208.49 = 32,380/x
  3. Step 3: Cross multiply
    34,912.65x = 48,208.49 × 32,380
  4. Step 4: Simplify right side
    34,912.65x = 1,560,990,906.20
  5. Step 5: Solve for x
    x = 1,560,990,906.20/34,912.65
  6. Step 6: Final answer
    x = 44,711.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.