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Finding the Fourth Proportional to 72,963.90, 100,686.78 and 49,086.72

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Solution

The fourth proportional to 72,963.90, 100,686.78 and 49,086.72 is: 67,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,963.90 : 100,686.78 = 49,086.72 : x
  2. Step 2: Convert to fraction form
    72,963.90/100,686.78 = 49,086.72/x
  3. Step 3: Cross multiply
    72,963.90x = 100,686.78 × 49,086.72
  4. Step 4: Simplify right side
    72,963.90x = 4,942,383,777.56
  5. Step 5: Solve for x
    x = 4,942,383,777.56/72,963.90
  6. Step 6: Final answer
    x = 67,737.38

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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.