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Finding the Fourth Proportional to 51,814.67, 71,512.82 and 32,704.85

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Solution

The fourth proportional to 51,814.67, 71,512.82 and 32,704.85 is: 45,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.67 : 71,512.82 = 32,704.85 : x
  2. Step 2: Convert to fraction form
    51,814.67/71,512.82 = 32,704.85/x
  3. Step 3: Cross multiply
    51,814.67x = 71,512.82 × 32,704.85
  4. Step 4: Simplify right side
    51,814.67x = 2,338,815,652.73
  5. Step 5: Solve for x
    x = 2,338,815,652.73/51,814.67
  6. Step 6: Final answer
    x = 45,138.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.