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Finding the Fourth Proportional to 49,896.63, 68,855.64 and 29,743.14

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Solution

The fourth proportional to 49,896.63, 68,855.64 and 29,743.14 is: 41,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896.63 : 68,855.64 = 29,743.14 : x
  2. Step 2: Convert to fraction form
    49,896.63/68,855.64 = 29,743.14/x
  3. Step 3: Cross multiply
    49,896.63x = 68,855.64 × 29,743.14
  4. Step 4: Simplify right side
    49,896.63x = 2,047,982,940.31
  5. Step 5: Solve for x
    x = 2,047,982,940.31/49,896.63
  6. Step 6: Final answer
    x = 41,044.51

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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.