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Finding the Fourth Proportional to 69,496.38, 95,902.42 and 37,664.59

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Solution

The fourth proportional to 69,496.38, 95,902.42 and 37,664.59 is: 51,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,496.38 : 95,902.42 = 37,664.59 : x
  2. Step 2: Convert to fraction form
    69,496.38/95,902.42 = 37,664.59/x
  3. Step 3: Cross multiply
    69,496.38x = 95,902.42 × 37,664.59
  4. Step 4: Simplify right side
    69,496.38x = 3,612,125,329.31
  5. Step 5: Solve for x
    x = 3,612,125,329.31/69,496.38
  6. Step 6: Final answer
    x = 51,975.73

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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.