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Finding the Fourth Proportional to 55,165, 82,763.82 and 31,808.20

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Solution

The fourth proportional to 55,165, 82,763.82 and 31,808.20 is: 47,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165 : 82,763.82 = 31,808.20 : x
  2. Step 2: Convert to fraction form
    55,165/82,763.82 = 31,808.20/x
  3. Step 3: Cross multiply
    55,165x = 82,763.82 × 31,808.20
  4. Step 4: Simplify right side
    55,165x = 2,632,568,139.32
  5. Step 5: Solve for x
    x = 2,632,568,139.32/55,165
  6. Step 6: Final answer
    x = 47,721.71

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