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Finding the Fourth Proportional to 52,072, 71,893.92 and 32,234.56

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Solution

The fourth proportional to 52,072, 71,893.92 and 32,234.56 is: 44,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072 : 71,893.92 = 32,234.56 : x
  2. Step 2: Convert to fraction form
    52,072/71,893.92 = 32,234.56/x
  3. Step 3: Cross multiply
    52,072x = 71,893.92 × 32,234.56
  4. Step 4: Simplify right side
    52,072x = 2,317,468,877.88
  5. Step 5: Solve for x
    x = 2,317,468,877.88/52,072
  6. Step 6: Final answer
    x = 44,505.09

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Why These Related Problems?

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