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Finding the Fourth Proportional to 32,122.66, 48,163.43 and 15,449.49

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Solution

The fourth proportional to 32,122.66, 48,163.43 and 15,449.49 is: 23,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.66 : 48,163.43 = 15,449.49 : x
  2. Step 2: Convert to fraction form
    32,122.66/48,163.43 = 15,449.49/x
  3. Step 3: Cross multiply
    32,122.66x = 48,163.43 × 15,449.49
  4. Step 4: Simplify right side
    32,122.66x = 744,100,189.33
  5. Step 5: Solve for x
    x = 744,100,189.33/32,122.66
  6. Step 6: Final answer
    x = 23,164.34

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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.