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Finding the Fourth Proportional to 48,530, 72,791.74 and 13,469.96

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Solution

The fourth proportional to 48,530, 72,791.74 and 13,469.96 is: 20,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,530 : 72,791.74 = 13,469.96 : x
  2. Step 2: Convert to fraction form
    48,530/72,791.74 = 13,469.96/x
  3. Step 3: Cross multiply
    48,530x = 72,791.74 × 13,469.96
  4. Step 4: Simplify right side
    48,530x = 980,501,826.13
  5. Step 5: Solve for x
    x = 980,501,826.13/48,530
  6. Step 6: Final answer
    x = 20,204.04

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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.