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Finding the Fourth Proportional to 31,507.26, 47,260.89 and 8,131.88

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Solution

The fourth proportional to 31,507.26, 47,260.89 and 8,131.88 is: 12,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.26 : 47,260.89 = 8,131.88 : x
  2. Step 2: Convert to fraction form
    31,507.26/47,260.89 = 8,131.88/x
  3. Step 3: Cross multiply
    31,507.26x = 47,260.89 × 8,131.88
  4. Step 4: Simplify right side
    31,507.26x = 384,319,649.87
  5. Step 5: Solve for x
    x = 384,319,649.87/31,507.26
  6. Step 6: Final answer
    x = 12,197.81

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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.