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Finding the Fourth Proportional to 80,446.40, 111,022.72 and 44,648

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Solution

The fourth proportional to 80,446.40, 111,022.72 and 44,648 is: 61,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,446.40 : 111,022.72 = 44,648 : x
  2. Step 2: Convert to fraction form
    80,446.40/111,022.72 = 44,648/x
  3. Step 3: Cross multiply
    80,446.40x = 111,022.72 × 44,648
  4. Step 4: Simplify right side
    80,446.40x = 4,956,942,402.56
  5. Step 5: Solve for x
    x = 4,956,942,402.56/80,446.40
  6. Step 6: Final answer
    x = 61,617.95

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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.