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Finding the Fourth Proportional to 31,586.15, 47,375.55 and 8,214.41

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Solution

The fourth proportional to 31,586.15, 47,375.55 and 8,214.41 is: 12,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.15 : 47,375.55 = 8,214.41 : x
  2. Step 2: Convert to fraction form
    31,586.15/47,375.55 = 8,214.41/x
  3. Step 3: Cross multiply
    31,586.15x = 47,375.55 × 8,214.41
  4. Step 4: Simplify right side
    31,586.15x = 389,162,191.68
  5. Step 5: Solve for x
    x = 389,162,191.68/31,586.15
  6. Step 6: Final answer
    x = 12,320.66

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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.