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Finding the Fourth Proportional to 80,416.20, 120,624.30 and 38,944.20

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Solution

The fourth proportional to 80,416.20, 120,624.30 and 38,944.20 is: 58,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,416.20 : 120,624.30 = 38,944.20 : x
  2. Step 2: Convert to fraction form
    80,416.20/120,624.30 = 38,944.20/x
  3. Step 3: Cross multiply
    80,416.20x = 120,624.30 × 38,944.20
  4. Step 4: Simplify right side
    80,416.20x = 4,697,616,864.06
  5. Step 5: Solve for x
    x = 4,697,616,864.06/80,416.20
  6. Step 6: Final answer
    x = 58,416.30

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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.