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Finding the Fourth Proportional to 32,627.68, 45,029.34 and 18,287.44

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Solution

The fourth proportional to 32,627.68, 45,029.34 and 18,287.44 is: 25,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,627.68 : 45,029.34 = 18,287.44 : x
  2. Step 2: Convert to fraction form
    32,627.68/45,029.34 = 18,287.44/x
  3. Step 3: Cross multiply
    32,627.68x = 45,029.34 × 18,287.44
  4. Step 4: Simplify right side
    32,627.68x = 823,471,353.49
  5. Step 5: Solve for x
    x = 823,471,353.49/32,627.68
  6. Step 6: Final answer
    x = 25,238.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.