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Finding the Fourth Proportional to 69,778.26, 96,260.16 and 41,463.90

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Solution

The fourth proportional to 69,778.26, 96,260.16 and 41,463.90 is: 57,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,778.26 : 96,260.16 = 41,463.90 : x
  2. Step 2: Convert to fraction form
    69,778.26/96,260.16 = 41,463.90/x
  3. Step 3: Cross multiply
    69,778.26x = 96,260.16 × 41,463.90
  4. Step 4: Simplify right side
    69,778.26x = 3,991,321,648.22
  5. Step 5: Solve for x
    x = 3,991,321,648.22/69,778.26
  6. Step 6: Final answer
    x = 57,200.07

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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.