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Finding the Fourth Proportional to 31,628.88, 47,443.32 and 8,255.34

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Solution

The fourth proportional to 31,628.88, 47,443.32 and 8,255.34 is: 12,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628.88 : 47,443.32 = 8,255.34 : x
  2. Step 2: Convert to fraction form
    31,628.88/47,443.32 = 8,255.34/x
  3. Step 3: Cross multiply
    31,628.88x = 47,443.32 × 8,255.34
  4. Step 4: Simplify right side
    31,628.88x = 391,660,737.33
  5. Step 5: Solve for x
    x = 391,660,737.33/31,628.88
  6. Step 6: Final answer
    x = 12,383.01

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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.