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Finding the Fourth Proportional to 69,685.92, 96,145.38 and 39,466.44

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Solution

The fourth proportional to 69,685.92, 96,145.38 and 39,466.44 is: 54,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,685.92 : 96,145.38 = 39,466.44 : x
  2. Step 2: Convert to fraction form
    69,685.92/96,145.38 = 39,466.44/x
  3. Step 3: Cross multiply
    69,685.92x = 96,145.38 × 39,466.44
  4. Step 4: Simplify right side
    69,685.92x = 3,794,515,871.05
  5. Step 5: Solve for x
    x = 3,794,515,871.05/69,685.92
  6. Step 6: Final answer
    x = 54,451.69

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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.