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Finding the Fourth Proportional to 31,735.26, 47,599.11 and 8,363.52

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Solution

The fourth proportional to 31,735.26, 47,599.11 and 8,363.52 is: 12,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.26 : 47,599.11 = 8,363.52 : x
  2. Step 2: Convert to fraction form
    31,735.26/47,599.11 = 8,363.52/x
  3. Step 3: Cross multiply
    31,735.26x = 47,599.11 × 8,363.52
  4. Step 4: Simplify right side
    31,735.26x = 398,096,108.47
  5. Step 5: Solve for x
    x = 398,096,108.47/31,735.26
  6. Step 6: Final answer
    x = 12,544.28

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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.