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Finding the Fourth Proportional to 69,840.82, 104,775.07 and 27,740.73

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Solution

The fourth proportional to 69,840.82, 104,775.07 and 27,740.73 is: 41,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840.82 : 104,775.07 = 27,740.73 : x
  2. Step 2: Convert to fraction form
    69,840.82/104,775.07 = 27,740.73/x
  3. Step 3: Cross multiply
    69,840.82x = 104,775.07 × 27,740.73
  4. Step 4: Simplify right side
    69,840.82x = 2,906,536,713.81
  5. Step 5: Solve for x
    x = 2,906,536,713.81/69,840.82
  6. Step 6: Final answer
    x = 41,616.59

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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.