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Finding the Fourth Proportional to 69,865.48, 96,414.51 and 38,034.28

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Solution

The fourth proportional to 69,865.48, 96,414.51 and 38,034.28 is: 52,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,865.48 : 96,414.51 = 38,034.28 : x
  2. Step 2: Convert to fraction form
    69,865.48/96,414.51 = 38,034.28/x
  3. Step 3: Cross multiply
    69,865.48x = 96,414.51 × 38,034.28
  4. Step 4: Simplify right side
    69,865.48x = 3,667,056,469.40
  5. Step 5: Solve for x
    x = 3,667,056,469.40/69,865.48
  6. Step 6: Final answer
    x = 52,487.39

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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.