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Finding the Fourth Proportional to 48,469.36, 72,737.52 and 31,837.36

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Solution

The fourth proportional to 48,469.36, 72,737.52 and 31,837.36 is: 47,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469.36 : 72,737.52 = 31,837.36 : x
  2. Step 2: Convert to fraction form
    48,469.36/72,737.52 = 31,837.36/x
  3. Step 3: Cross multiply
    48,469.36x = 72,737.52 × 31,837.36
  4. Step 4: Simplify right side
    48,469.36x = 2,315,770,609.75
  5. Step 5: Solve for x
    x = 2,315,770,609.75/48,469.36
  6. Step 6: Final answer
    x = 47,778.03

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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.