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Finding the Fourth Proportional to 69,838.38, 96,207.62 and 51,902.28

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Solution

The fourth proportional to 69,838.38, 96,207.62 and 51,902.28 is: 71,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.38 : 96,207.62 = 51,902.28 : x
  2. Step 2: Convert to fraction form
    69,838.38/96,207.62 = 51,902.28/x
  3. Step 3: Cross multiply
    69,838.38x = 96,207.62 × 51,902.28
  4. Step 4: Simplify right side
    69,838.38x = 4,993,394,571.86
  5. Step 5: Solve for x
    x = 4,993,394,571.86/69,838.38
  6. Step 6: Final answer
    x = 71,499.29

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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.