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Finding the Fourth Proportional to 80,403.60, 120,617.28 and 27,798.96

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Solution

The fourth proportional to 80,403.60, 120,617.28 and 27,798.96 is: 41,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,403.60 : 120,617.28 = 27,798.96 : x
  2. Step 2: Convert to fraction form
    80,403.60/120,617.28 = 27,798.96/x
  3. Step 3: Cross multiply
    80,403.60x = 120,617.28 × 27,798.96
  4. Step 4: Simplify right side
    80,403.60x = 3,353,034,942.03
  5. Step 5: Solve for x
    x = 3,353,034,942.03/80,403.60
  6. Step 6: Final answer
    x = 41,702.55

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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.