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Finding the Fourth Proportional to 69,982.92, 96,576.42 and 38,151.78

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Solution

The fourth proportional to 69,982.92, 96,576.42 and 38,151.78 is: 52,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,982.92 : 96,576.42 = 38,151.78 : x
  2. Step 2: Convert to fraction form
    69,982.92/96,576.42 = 38,151.78/x
  3. Step 3: Cross multiply
    69,982.92x = 96,576.42 × 38,151.78
  4. Step 4: Simplify right side
    69,982.92x = 3,684,562,329.03
  5. Step 5: Solve for x
    x = 3,684,562,329.03/69,982.92
  6. Step 6: Final answer
    x = 52,649.45

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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.