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Finding the Fourth Proportional to 31,587.26, 47,377.11 and 8,213.09

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Solution

The fourth proportional to 31,587.26, 47,377.11 and 8,213.09 is: 12,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587.26 : 47,377.11 = 8,213.09 : x
  2. Step 2: Convert to fraction form
    31,587.26/47,377.11 = 8,213.09/x
  3. Step 3: Cross multiply
    31,587.26x = 47,377.11 × 8,213.09
  4. Step 4: Simplify right side
    31,587.26x = 389,112,468.37
  5. Step 5: Solve for x
    x = 389,112,468.37/31,587.26
  6. Step 6: Final answer
    x = 12,318.65

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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.