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Finding the Fourth Proportional to 69,715.52, 96,207.42 and 37,884.33

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Solution

The fourth proportional to 69,715.52, 96,207.42 and 37,884.33 is: 52,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,715.52 : 96,207.42 = 37,884.33 : x
  2. Step 2: Convert to fraction form
    69,715.52/96,207.42 = 37,884.33/x
  3. Step 3: Cross multiply
    69,715.52x = 96,207.42 × 37,884.33
  4. Step 4: Simplify right side
    69,715.52x = 3,644,753,647.73
  5. Step 5: Solve for x
    x = 3,644,753,647.73/69,715.52
  6. Step 6: Final answer
    x = 52,280.38

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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.