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Finding the Fourth Proportional to 49,836, 68,773.74 and 27,480

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Solution

The fourth proportional to 49,836, 68,773.74 and 27,480 is: 37,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,836 : 68,773.74 = 27,480 : x
  2. Step 2: Convert to fraction form
    49,836/68,773.74 = 27,480/x
  3. Step 3: Cross multiply
    49,836x = 68,773.74 × 27,480
  4. Step 4: Simplify right side
    49,836x = 1,889,902,375.20
  5. Step 5: Solve for x
    x = 1,889,902,375.20/49,836
  6. Step 6: Final answer
    x = 37,922.43

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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.