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Finding the Fourth Proportional to 30,382.44, 45,573.50 and 8,195.24

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Solution

The fourth proportional to 30,382.44, 45,573.50 and 8,195.24 is: 12,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.44 : 45,573.50 = 8,195.24 : x
  2. Step 2: Convert to fraction form
    30,382.44/45,573.50 = 8,195.24/x
  3. Step 3: Cross multiply
    30,382.44x = 45,573.50 × 8,195.24
  4. Step 4: Simplify right side
    30,382.44x = 373,485,770.14
  5. Step 5: Solve for x
    x = 373,485,770.14/30,382.44
  6. Step 6: Final answer
    x = 12,292.82

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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.