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Finding the Fourth Proportional to 69,882.85, 104,664.59 and 54,855.77

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Solution

The fourth proportional to 69,882.85, 104,664.59 and 54,855.77 is: 82,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882.85 : 104,664.59 = 54,855.77 : x
  2. Step 2: Convert to fraction form
    69,882.85/104,664.59 = 54,855.77/x
  3. Step 3: Cross multiply
    69,882.85x = 104,664.59 × 54,855.77
  4. Step 4: Simplify right side
    69,882.85x = 5,741,456,084.29
  5. Step 5: Solve for x
    x = 5,741,456,084.29/69,882.85
  6. Step 6: Final answer
    x = 82,158.30

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Why These Related Problems?

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