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Finding the Fourth Proportional to 80,441.60, 120,662.40 and 38,969.60

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Solution

The fourth proportional to 80,441.60, 120,662.40 and 38,969.60 is: 58,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,441.60 : 120,662.40 = 38,969.60 : x
  2. Step 2: Convert to fraction form
    80,441.60/120,662.40 = 38,969.60/x
  3. Step 3: Cross multiply
    80,441.60x = 120,662.40 × 38,969.60
  4. Step 4: Simplify right side
    80,441.60x = 4,702,165,463.04
  5. Step 5: Solve for x
    x = 4,702,165,463.04/80,441.60
  6. Step 6: Final answer
    x = 58,454.40

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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.