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Finding the Fourth Proportional to 69,896.85, 104,757.84 and 55,047.12

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Solution

The fourth proportional to 69,896.85, 104,757.84 and 55,047.12 is: 82,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,896.85 : 104,757.84 = 55,047.12 : x
  2. Step 2: Convert to fraction form
    69,896.85/104,757.84 = 55,047.12/x
  3. Step 3: Cross multiply
    69,896.85x = 104,757.84 × 55,047.12
  4. Step 4: Simplify right side
    69,896.85x = 5,766,617,389.42
  5. Step 5: Solve for x
    x = 5,766,617,389.42/69,896.85
  6. Step 6: Final answer
    x = 82,501.82

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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.