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Finding the Fourth Proportional to 89,100, 122,958 and 49,363.68

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Solution

The fourth proportional to 89,100, 122,958 and 49,363.68 is: 68,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,100 : 122,958 = 49,363.68 : x
  2. Step 2: Convert to fraction form
    89,100/122,958 = 49,363.68/x
  3. Step 3: Cross multiply
    89,100x = 122,958 × 49,363.68
  4. Step 4: Simplify right side
    89,100x = 6,069,659,365.44
  5. Step 5: Solve for x
    x = 6,069,659,365.44/89,100
  6. Step 6: Final answer
    x = 68,121.88

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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.