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Finding the Fourth Proportional to 30,382.43, 45,570.38 and 8,194.41

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Solution

The fourth proportional to 30,382.43, 45,570.38 and 8,194.41 is: 12,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.43 : 45,570.38 = 8,194.41 : x
  2. Step 2: Convert to fraction form
    30,382.43/45,570.38 = 8,194.41/x
  3. Step 3: Cross multiply
    30,382.43x = 45,570.38 × 8,194.41
  4. Step 4: Simplify right side
    30,382.43x = 373,422,336.60
  5. Step 5: Solve for x
    x = 373,422,336.60/30,382.43
  6. Step 6: Final answer
    x = 12,290.74

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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.