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Finding the Fourth Proportional to 69,611.91, 96,063.87 and 37,780.82

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Solution

The fourth proportional to 69,611.91, 96,063.87 and 37,780.82 is: 52,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,611.91 : 96,063.87 = 37,780.82 : x
  2. Step 2: Convert to fraction form
    69,611.91/96,063.87 = 37,780.82/x
  3. Step 3: Cross multiply
    69,611.91x = 96,063.87 × 37,780.82
  4. Step 4: Simplify right side
    69,611.91x = 3,629,372,021.13
  5. Step 5: Solve for x
    x = 3,629,372,021.13/69,611.91
  6. Step 6: Final answer
    x = 52,137.23

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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.