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Finding the Fourth Proportional to 49,339.45, 68,086.82 and 27,829.76

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Solution

The fourth proportional to 49,339.45, 68,086.82 and 27,829.76 is: 38,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,339.45 : 68,086.82 = 27,829.76 : x
  2. Step 2: Convert to fraction form
    49,339.45/68,086.82 = 27,829.76/x
  3. Step 3: Cross multiply
    49,339.45x = 68,086.82 × 27,829.76
  4. Step 4: Simplify right side
    49,339.45x = 1,894,839,588.90
  5. Step 5: Solve for x
    x = 1,894,839,588.90/49,339.45
  6. Step 6: Final answer
    x = 38,404.15

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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.