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Finding the Fourth Proportional to 30,249.50, 45,374.26 and 8,361.50

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Solution

The fourth proportional to 30,249.50, 45,374.26 and 8,361.50 is: 12,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249.50 : 45,374.26 = 8,361.50 : x
  2. Step 2: Convert to fraction form
    30,249.50/45,374.26 = 8,361.50/x
  3. Step 3: Cross multiply
    30,249.50x = 45,374.26 × 8,361.50
  4. Step 4: Simplify right side
    30,249.50x = 379,396,874.99
  5. Step 5: Solve for x
    x = 379,396,874.99/30,249.50
  6. Step 6: Final answer
    x = 12,542.25

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1.5x scale

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.