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Finding the Fourth Proportional to 49,339.26, 68,083.92 and 27,827.82

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Solution

The fourth proportional to 49,339.26, 68,083.92 and 27,827.82 is: 38,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,339.26 : 68,083.92 = 27,827.82 : x
  2. Step 2: Convert to fraction form
    49,339.26/68,083.92 = 27,827.82/x
  3. Step 3: Cross multiply
    49,339.26x = 68,083.92 × 27,827.82
  4. Step 4: Simplify right side
    49,339.26x = 1,894,627,070.65
  5. Step 5: Solve for x
    x = 1,894,627,070.65/49,339.26
  6. Step 6: Final answer
    x = 38,399.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.