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Finding the Fourth Proportional to 51,819.48, 71,507.88 and 30,591

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Solution

The fourth proportional to 51,819.48, 71,507.88 and 30,591 is: 42,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.48 : 71,507.88 = 30,591 : x
  2. Step 2: Convert to fraction form
    51,819.48/71,507.88 = 30,591/x
  3. Step 3: Cross multiply
    51,819.48x = 71,507.88 × 30,591
  4. Step 4: Simplify right side
    51,819.48x = 2,187,497,557.08
  5. Step 5: Solve for x
    x = 2,187,497,557.08/51,819.48
  6. Step 6: Final answer
    x = 42,213.81

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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.