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Finding the Fourth Proportional to 69,782.82, 96,297.54 and 37,951.68

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Solution

The fourth proportional to 69,782.82, 96,297.54 and 37,951.68 is: 52,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782.82 : 96,297.54 = 37,951.68 : x
  2. Step 2: Convert to fraction form
    69,782.82/96,297.54 = 37,951.68/x
  3. Step 3: Cross multiply
    69,782.82x = 96,297.54 × 37,951.68
  4. Step 4: Simplify right side
    69,782.82x = 3,654,653,422.87
  5. Step 5: Solve for x
    x = 3,654,653,422.87/69,782.82
  6. Step 6: Final answer
    x = 52,371.82

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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.