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Finding the Fourth Proportional to 49,854.66, 68,794.65 and 27,497.22

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Solution

The fourth proportional to 49,854.66, 68,794.65 and 27,497.22 is: 37,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,854.66 : 68,794.65 = 27,497.22 : x
  2. Step 2: Convert to fraction form
    49,854.66/68,794.65 = 27,497.22/x
  3. Step 3: Cross multiply
    49,854.66x = 68,794.65 × 27,497.22
  4. Step 4: Simplify right side
    49,854.66x = 1,891,661,625.87
  5. Step 5: Solve for x
    x = 1,891,661,625.87/49,854.66
  6. Step 6: Final answer
    x = 37,943.53

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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.