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Finding the Fourth Proportional to 49,083.84, 73,635.84 and 15,793.92

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Solution

The fourth proportional to 49,083.84, 73,635.84 and 15,793.92 is: 23,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,083.84 : 73,635.84 = 15,793.92 : x
  2. Step 2: Convert to fraction form
    49,083.84/73,635.84 = 15,793.92/x
  3. Step 3: Cross multiply
    49,083.84x = 73,635.84 × 15,793.92
  4. Step 4: Simplify right side
    49,083.84x = 1,162,998,566.09
  5. Step 5: Solve for x
    x = 1,162,998,566.09/49,083.84
  6. Step 6: Final answer
    x = 23,694.12

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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.