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Finding the Fourth Proportional to 49,774.88, 68,694 and 28,269.38

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Solution

The fourth proportional to 49,774.88, 68,694 and 28,269.38 is: 39,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774.88 : 68,694 = 28,269.38 : x
  2. Step 2: Convert to fraction form
    49,774.88/68,694 = 28,269.38/x
  3. Step 3: Cross multiply
    49,774.88x = 68,694 × 28,269.38
  4. Step 4: Simplify right side
    49,774.88x = 1,941,936,789.72
  5. Step 5: Solve for x
    x = 1,941,936,789.72/49,774.88
  6. Step 6: Final answer
    x = 39,014.39

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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.