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Finding the Fourth Proportional to 31,628.88, 47,442.41 and 8,255.32

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Solution

The fourth proportional to 31,628.88, 47,442.41 and 8,255.32 is: 12,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628.88 : 47,442.41 = 8,255.32 : x
  2. Step 2: Convert to fraction form
    31,628.88/47,442.41 = 8,255.32/x
  3. Step 3: Cross multiply
    31,628.88x = 47,442.41 × 8,255.32
  4. Step 4: Simplify right side
    31,628.88x = 391,652,147.20
  5. Step 5: Solve for x
    x = 391,652,147.20/31,628.88
  6. Step 6: Final answer
    x = 12,382.74

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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.