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Finding the Fourth Proportional to 81,920.40, 122,815.80 and 44,984.40

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Solution

The fourth proportional to 81,920.40, 122,815.80 and 44,984.40 is: 67,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.40 : 122,815.80 = 44,984.40 : x
  2. Step 2: Convert to fraction form
    81,920.40/122,815.80 = 44,984.40/x
  3. Step 3: Cross multiply
    81,920.40x = 122,815.80 × 44,984.40
  4. Step 4: Simplify right side
    81,920.40x = 5,524,795,073.52
  5. Step 5: Solve for x
    x = 5,524,795,073.52/81,920.40
  6. Step 6: Final answer
    x = 67,441.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.