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Finding the Fourth Proportional to 80,046.50, 120,069.74 and 30,137.79

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Solution

The fourth proportional to 80,046.50, 120,069.74 and 30,137.79 is: 45,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,046.50 : 120,069.74 = 30,137.79 : x
  2. Step 2: Convert to fraction form
    80,046.50/120,069.74 = 30,137.79/x
  3. Step 3: Cross multiply
    80,046.50x = 120,069.74 × 30,137.79
  4. Step 4: Simplify right side
    80,046.50x = 3,618,636,684.82
  5. Step 5: Solve for x
    x = 3,618,636,684.82/80,046.50
  6. Step 6: Final answer
    x = 45,206.69

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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.