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Finding the Fourth Proportional to 69,782.48, 96,295.87 and 37,951.37

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Solution

The fourth proportional to 69,782.48, 96,295.87 and 37,951.37 is: 52,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782.48 : 96,295.87 = 37,951.37 : x
  2. Step 2: Convert to fraction form
    69,782.48/96,295.87 = 37,951.37/x
  3. Step 3: Cross multiply
    69,782.48x = 96,295.87 × 37,951.37
  4. Step 4: Simplify right side
    69,782.48x = 3,654,560,191.84
  5. Step 5: Solve for x
    x = 3,654,560,191.84/69,782.48
  6. Step 6: Final answer
    x = 52,370.74

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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.