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Finding the Fourth Proportional to 83,229.44, 124,816.64 and 41,648

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Solution

The fourth proportional to 83,229.44, 124,816.64 and 41,648 is: 62,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.44 : 124,816.64 = 41,648 : x
  2. Step 2: Convert to fraction form
    83,229.44/124,816.64 = 41,648/x
  3. Step 3: Cross multiply
    83,229.44x = 124,816.64 × 41,648
  4. Step 4: Simplify right side
    83,229.44x = 5,198,363,422.72
  5. Step 5: Solve for x
    x = 5,198,363,422.72/83,229.44
  6. Step 6: Final answer
    x = 62,458.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.