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Finding the Fourth Proportional to 69,813.68, 96,340.02 and 37,982.61

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Solution

The fourth proportional to 69,813.68, 96,340.02 and 37,982.61 is: 52,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,813.68 : 96,340.02 = 37,982.61 : x
  2. Step 2: Convert to fraction form
    69,813.68/96,340.02 = 37,982.61/x
  3. Step 3: Cross multiply
    69,813.68x = 96,340.02 × 37,982.61
  4. Step 4: Simplify right side
    69,813.68x = 3,659,245,407.05
  5. Step 5: Solve for x
    x = 3,659,245,407.05/69,813.68
  6. Step 6: Final answer
    x = 52,414.45

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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.