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Finding the Fourth Proportional to 49,976.94, 68,961.51 and 32,096.16

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Solution

The fourth proportional to 49,976.94, 68,961.51 and 32,096.16 is: 44,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,976.94 : 68,961.51 = 32,096.16 : x
  2. Step 2: Convert to fraction form
    49,976.94/68,961.51 = 32,096.16/x
  3. Step 3: Cross multiply
    49,976.94x = 68,961.51 × 32,096.16
  4. Step 4: Simplify right side
    49,976.94x = 2,213,399,658.80
  5. Step 5: Solve for x
    x = 2,213,399,658.80/49,976.94
  6. Step 6: Final answer
    x = 44,288.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.