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Finding the Fourth Proportional to 49,694.82, 68,578.83 and 28,486.38

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Solution

The fourth proportional to 49,694.82, 68,578.83 and 28,486.38 is: 39,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,694.82 : 68,578.83 = 28,486.38 : x
  2. Step 2: Convert to fraction form
    49,694.82/68,578.83 = 28,486.38/x
  3. Step 3: Cross multiply
    49,694.82x = 68,578.83 × 28,486.38
  4. Step 4: Simplify right side
    49,694.82x = 1,953,562,611.34
  5. Step 5: Solve for x
    x = 1,953,562,611.34/49,694.82
  6. Step 6: Final answer
    x = 39,311.19

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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.