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Finding the Fourth Proportional to 89,964.50, 134,946.75 and 27,635

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Solution

The fourth proportional to 89,964.50, 134,946.75 and 27,635 is: 41,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,964.50 : 134,946.75 = 27,635 : x
  2. Step 2: Convert to fraction form
    89,964.50/134,946.75 = 27,635/x
  3. Step 3: Cross multiply
    89,964.50x = 134,946.75 × 27,635
  4. Step 4: Simplify right side
    89,964.50x = 3,729,253,436.25
  5. Step 5: Solve for x
    x = 3,729,253,436.25/89,964.50
  6. Step 6: Final answer
    x = 41,452.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.