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Finding the Fourth Proportional to 30,942.44, 46,414.57 and 7,568.88

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Solution

The fourth proportional to 30,942.44, 46,414.57 and 7,568.88 is: 11,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.44 : 46,414.57 = 7,568.88 : x
  2. Step 2: Convert to fraction form
    30,942.44/46,414.57 = 7,568.88/x
  3. Step 3: Cross multiply
    30,942.44x = 46,414.57 × 7,568.88
  4. Step 4: Simplify right side
    30,942.44x = 351,306,310.58
  5. Step 5: Solve for x
    x = 351,306,310.58/30,942.44
  6. Step 6: Final answer
    x = 11,353.54

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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.