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Finding the Fourth Proportional to 49,100.68, 67,765.26 and 29,976.44

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Solution

The fourth proportional to 49,100.68, 67,765.26 and 29,976.44 is: 41,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,100.68 : 67,765.26 = 29,976.44 : x
  2. Step 2: Convert to fraction form
    49,100.68/67,765.26 = 29,976.44/x
  3. Step 3: Cross multiply
    49,100.68x = 67,765.26 × 29,976.44
  4. Step 4: Simplify right side
    49,100.68x = 2,031,361,250.47
  5. Step 5: Solve for x
    x = 2,031,361,250.47/49,100.68
  6. Step 6: Final answer
    x = 41,371.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.