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Finding the Fourth Proportional to 80,081.92, 110,509.94 and 47,821.96

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Solution

The fourth proportional to 80,081.92, 110,509.94 and 47,821.96 is: 65,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,081.92 : 110,509.94 = 47,821.96 : x
  2. Step 2: Convert to fraction form
    80,081.92/110,509.94 = 47,821.96/x
  3. Step 3: Cross multiply
    80,081.92x = 110,509.94 × 47,821.96
  4. Step 4: Simplify right side
    80,081.92x = 5,284,801,930.28
  5. Step 5: Solve for x
    x = 5,284,801,930.28/80,081.92
  6. Step 6: Final answer
    x = 65,992.45

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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.