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Finding the Fourth Proportional to 49,342.52, 68,076.24 and 27,829.64

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Solution

The fourth proportional to 49,342.52, 68,076.24 and 27,829.64 is: 38,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,342.52 : 68,076.24 = 27,829.64 : x
  2. Step 2: Convert to fraction form
    49,342.52/68,076.24 = 27,829.64/x
  3. Step 3: Cross multiply
    49,342.52x = 68,076.24 × 27,829.64
  4. Step 4: Simplify right side
    49,342.52x = 1,894,537,251.75
  5. Step 5: Solve for x
    x = 1,894,537,251.75/49,342.52
  6. Step 6: Final answer
    x = 38,395.63

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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.