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Finding the Fourth Proportional to 49,467, 68,264.46 and 27,111

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Solution

The fourth proportional to 49,467, 68,264.46 and 27,111 is: 37,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,467 : 68,264.46 = 27,111 : x
  2. Step 2: Convert to fraction form
    49,467/68,264.46 = 27,111/x
  3. Step 3: Cross multiply
    49,467x = 68,264.46 × 27,111
  4. Step 4: Simplify right side
    49,467x = 1,850,717,775.06
  5. Step 5: Solve for x
    x = 1,850,717,775.06/49,467
  6. Step 6: Final answer
    x = 37,413.18

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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.