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Finding the Fourth Proportional to 49,590, 68,435.82 and 27,234

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Solution

The fourth proportional to 49,590, 68,435.82 and 27,234 is: 37,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,590 : 68,435.82 = 27,234 : x
  2. Step 2: Convert to fraction form
    49,590/68,435.82 = 27,234/x
  3. Step 3: Cross multiply
    49,590x = 68,435.82 × 27,234
  4. Step 4: Simplify right side
    49,590x = 1,863,781,121.88
  5. Step 5: Solve for x
    x = 1,863,781,121.88/49,590
  6. Step 6: Final answer
    x = 37,583.81

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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.