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Finding the Fourth Proportional to 32,481.77, 48,727.74 and 13,761.86

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Solution

The fourth proportional to 32,481.77, 48,727.74 and 13,761.86 is: 20,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.77 : 48,727.74 = 13,761.86 : x
  2. Step 2: Convert to fraction form
    32,481.77/48,727.74 = 13,761.86/x
  3. Step 3: Cross multiply
    32,481.77x = 48,727.74 × 13,761.86
  4. Step 4: Simplify right side
    32,481.77x = 670,584,092.36
  5. Step 5: Solve for x
    x = 670,584,092.36/32,481.77
  6. Step 6: Final answer
    x = 20,644.94

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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.