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Finding the Fourth Proportional to 82,175.22, 113,401.76 and 44,449.47

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Solution

The fourth proportional to 82,175.22, 113,401.76 and 44,449.47 is: 61,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.22 : 113,401.76 = 44,449.47 : x
  2. Step 2: Convert to fraction form
    82,175.22/113,401.76 = 44,449.47/x
  3. Step 3: Cross multiply
    82,175.22x = 113,401.76 × 44,449.47
  4. Step 4: Simplify right side
    82,175.22x = 5,040,647,906.82
  5. Step 5: Solve for x
    x = 5,040,647,906.82/82,175.22
  6. Step 6: Final answer
    x = 61,340.24

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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.