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Finding the Fourth Proportional to 69,286.38, 95,616.09 and 42,054.60

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Solution

The fourth proportional to 69,286.38, 95,616.09 and 42,054.60 is: 58,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,286.38 : 95,616.09 = 42,054.60 : x
  2. Step 2: Convert to fraction form
    69,286.38/95,616.09 = 42,054.60/x
  3. Step 3: Cross multiply
    69,286.38x = 95,616.09 × 42,054.60
  4. Step 4: Simplify right side
    69,286.38x = 4,021,096,418.51
  5. Step 5: Solve for x
    x = 4,021,096,418.51/69,286.38
  6. Step 6: Final answer
    x = 58,035.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.