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Finding the Fourth Proportional to 71,297.33, 106,906.69 and 48,833.76

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Solution

The fourth proportional to 71,297.33, 106,906.69 and 48,833.76 is: 73,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,297.33 : 106,906.69 = 48,833.76 : x
  2. Step 2: Convert to fraction form
    71,297.33/106,906.69 = 48,833.76/x
  3. Step 3: Cross multiply
    71,297.33x = 106,906.69 × 48,833.76
  4. Step 4: Simplify right side
    71,297.33x = 5,220,656,103.80
  5. Step 5: Solve for x
    x = 5,220,656,103.80/71,297.33
  6. Step 6: Final answer
    x = 73,223.73

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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.