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Finding the Fourth Proportional to 49,974.61, 68,958.32 and 32,093.84

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Solution

The fourth proportional to 49,974.61, 68,958.32 and 32,093.84 is: 44,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974.61 : 68,958.32 = 32,093.84 : x
  2. Step 2: Convert to fraction form
    49,974.61/68,958.32 = 32,093.84/x
  3. Step 3: Cross multiply
    49,974.61x = 68,958.32 × 32,093.84
  4. Step 4: Simplify right side
    49,974.61x = 2,213,137,288.75
  5. Step 5: Solve for x
    x = 2,213,137,288.75/49,974.61
  6. Step 6: Final answer
    x = 44,285.23

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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.