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Finding the Fourth Proportional to 48,791.53, 73,187.34 and 13,731.22

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Solution

The fourth proportional to 48,791.53, 73,187.34 and 13,731.22 is: 20,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,791.53 : 73,187.34 = 13,731.22 : x
  2. Step 2: Convert to fraction form
    48,791.53/73,187.34 = 13,731.22/x
  3. Step 3: Cross multiply
    48,791.53x = 73,187.34 × 13,731.22
  4. Step 4: Simplify right side
    48,791.53x = 1,004,951,466.75
  5. Step 5: Solve for x
    x = 1,004,951,466.75/48,791.53
  6. Step 6: Final answer
    x = 20,596.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.