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Finding the Fourth Proportional to 49,982.38, 68,977.54 and 27,322.91

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Solution

The fourth proportional to 49,982.38, 68,977.54 and 27,322.91 is: 37,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,982.38 : 68,977.54 = 27,322.91 : x
  2. Step 2: Convert to fraction form
    49,982.38/68,977.54 = 27,322.91/x
  3. Step 3: Cross multiply
    49,982.38x = 68,977.54 × 27,322.91
  4. Step 4: Simplify right side
    49,982.38x = 1,884,667,117.44
  5. Step 5: Solve for x
    x = 1,884,667,117.44/49,982.38
  6. Step 6: Final answer
    x = 37,706.63

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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.