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Finding the Fourth Proportional to 49,186.94, 67,871.13 and 27,963.86

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Solution

The fourth proportional to 49,186.94, 67,871.13 and 27,963.86 is: 38,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186.94 : 67,871.13 = 27,963.86 : x
  2. Step 2: Convert to fraction form
    49,186.94/67,871.13 = 27,963.86/x
  3. Step 3: Cross multiply
    49,186.94x = 67,871.13 × 27,963.86
  4. Step 4: Simplify right side
    49,186.94x = 1,897,938,777.36
  5. Step 5: Solve for x
    x = 1,897,938,777.36/49,186.94
  6. Step 6: Final answer
    x = 38,586.23

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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.