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Finding the Fourth Proportional to 49,493.50, 74,204.98 and 23,183.89

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Solution

The fourth proportional to 49,493.50, 74,204.98 and 23,183.89 is: 34,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493.50 : 74,204.98 = 23,183.89 : x
  2. Step 2: Convert to fraction form
    49,493.50/74,204.98 = 23,183.89/x
  3. Step 3: Cross multiply
    49,493.50x = 74,204.98 × 23,183.89
  4. Step 4: Simplify right side
    49,493.50x = 1,720,360,093.77
  5. Step 5: Solve for x
    x = 1,720,360,093.77/49,493.50
  6. Step 6: Final answer
    x = 34,759.31

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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.