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Finding the Fourth Proportional to 89,736, 123,838.24 and 49,994.56

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Solution

The fourth proportional to 89,736, 123,838.24 and 49,994.56 is: 68,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736 : 123,838.24 = 49,994.56 : x
  2. Step 2: Convert to fraction form
    89,736/123,838.24 = 49,994.56/x
  3. Step 3: Cross multiply
    89,736x = 123,838.24 × 49,994.56
  4. Step 4: Simplify right side
    89,736x = 6,191,238,319.97
  5. Step 5: Solve for x
    x = 6,191,238,319.97/89,736
  6. Step 6: Final answer
    x = 68,993.92

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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.