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Finding the Fourth Proportional to 49,449.67, 74,183.87 and 19,869.82

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Solution

The fourth proportional to 49,449.67, 74,183.87 and 19,869.82 is: 29,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,449.67 : 74,183.87 = 19,869.82 : x
  2. Step 2: Convert to fraction form
    49,449.67/74,183.87 = 19,869.82/x
  3. Step 3: Cross multiply
    49,449.67x = 74,183.87 × 19,869.82
  4. Step 4: Simplify right side
    49,449.67x = 1,474,020,044.45
  5. Step 5: Solve for x
    x = 1,474,020,044.45/49,449.67
  6. Step 6: Final answer
    x = 29,808.49

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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.