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Finding the Fourth Proportional to 80,171.22, 110,618.72 and 47,901

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Solution

The fourth proportional to 80,171.22, 110,618.72 and 47,901 is: 66,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,171.22 : 110,618.72 = 47,901 : x
  2. Step 2: Convert to fraction form
    80,171.22/110,618.72 = 47,901/x
  3. Step 3: Cross multiply
    80,171.22x = 110,618.72 × 47,901
  4. Step 4: Simplify right side
    80,171.22x = 5,298,747,306.72
  5. Step 5: Solve for x
    x = 5,298,747,306.72/80,171.22
  6. Step 6: Final answer
    x = 66,092.89

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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.