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Finding the Fourth Proportional to 89,797.84, 123,912.56 and 52,068

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Solution

The fourth proportional to 89,797.84, 123,912.56 and 52,068 is: 71,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,797.84 : 123,912.56 = 52,068 : x
  2. Step 2: Convert to fraction form
    89,797.84/123,912.56 = 52,068/x
  3. Step 3: Cross multiply
    89,797.84x = 123,912.56 × 52,068
  4. Step 4: Simplify right side
    89,797.84x = 6,451,879,174.08
  5. Step 5: Solve for x
    x = 6,451,879,174.08/89,797.84
  6. Step 6: Final answer
    x = 71,848.94

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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.