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Finding the Fourth Proportional to 31,375.09, 47,062.33 and 7,682.75

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Solution

The fourth proportional to 31,375.09, 47,062.33 and 7,682.75 is: 11,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.09 : 47,062.33 = 7,682.75 : x
  2. Step 2: Convert to fraction form
    31,375.09/47,062.33 = 7,682.75/x
  3. Step 3: Cross multiply
    31,375.09x = 47,062.33 × 7,682.75
  4. Step 4: Simplify right side
    31,375.09x = 361,567,861.29
  5. Step 5: Solve for x
    x = 361,567,861.29/31,375.09
  6. Step 6: Final answer
    x = 11,524.04

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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.