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Finding the Fourth Proportional to 49,494.31, 68,301.26 and 27,983.69

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Solution

The fourth proportional to 49,494.31, 68,301.26 and 27,983.69 is: 38,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494.31 : 68,301.26 = 27,983.69 : x
  2. Step 2: Convert to fraction form
    49,494.31/68,301.26 = 27,983.69/x
  3. Step 3: Cross multiply
    49,494.31x = 68,301.26 × 27,983.69
  4. Step 4: Simplify right side
    49,494.31x = 1,911,321,271.03
  5. Step 5: Solve for x
    x = 1,911,321,271.03/49,494.31
  6. Step 6: Final answer
    x = 38,616.99

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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.