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Finding the Fourth Proportional to 89,794.80, 123,908.40 and 52,065

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Solution

The fourth proportional to 89,794.80, 123,908.40 and 52,065 is: 71,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,794.80 : 123,908.40 = 52,065 : x
  2. Step 2: Convert to fraction form
    89,794.80/123,908.40 = 52,065/x
  3. Step 3: Cross multiply
    89,794.80x = 123,908.40 × 52,065
  4. Step 4: Simplify right side
    89,794.80x = 6,451,290,846
  5. Step 5: Solve for x
    x = 6,451,290,846/89,794.80
  6. Step 6: Final answer
    x = 71,844.82

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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.