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Finding the Fourth Proportional to 32,655.67, 48,997.37 and 17,847.28

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Solution

The fourth proportional to 32,655.67, 48,997.37 and 17,847.28 is: 26,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655.67 : 48,997.37 = 17,847.28 : x
  2. Step 2: Convert to fraction form
    32,655.67/48,997.37 = 17,847.28/x
  3. Step 3: Cross multiply
    32,655.67x = 48,997.37 × 17,847.28
  4. Step 4: Simplify right side
    32,655.67x = 874,469,837.22
  5. Step 5: Solve for x
    x = 874,469,837.22/32,655.67
  6. Step 6: Final answer
    x = 26,778.50

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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.