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Finding the Fourth Proportional to 83,863.86, 115,731.12 and 62,449.41

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Solution

The fourth proportional to 83,863.86, 115,731.12 and 62,449.41 is: 86,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.86 : 115,731.12 = 62,449.41 : x
  2. Step 2: Convert to fraction form
    83,863.86/115,731.12 = 62,449.41/x
  3. Step 3: Cross multiply
    83,863.86x = 115,731.12 × 62,449.41
  4. Step 4: Simplify right side
    83,863.86x = 7,227,340,162.64
  5. Step 5: Solve for x
    x = 7,227,340,162.64/83,863.86
  6. Step 6: Final answer
    x = 86,179.44

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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.