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Finding the Fourth Proportional to 30,834.80, 46,249.82 and 8,647

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Solution

The fourth proportional to 30,834.80, 46,249.82 and 8,647 is: 12,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.80 : 46,249.82 = 8,647 : x
  2. Step 2: Convert to fraction form
    30,834.80/46,249.82 = 8,647/x
  3. Step 3: Cross multiply
    30,834.80x = 46,249.82 × 8,647
  4. Step 4: Simplify right side
    30,834.80x = 399,922,193.54
  5. Step 5: Solve for x
    x = 399,922,193.54/30,834.80
  6. Step 6: Final answer
    x = 12,969.83

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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.