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Finding the Fourth Proportional to 32,717.72, 48,979.62 and 20,197.49

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Solution

The fourth proportional to 32,717.72, 48,979.62 and 20,197.49 is: 30,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,717.72 : 48,979.62 = 20,197.49 : x
  2. Step 2: Convert to fraction form
    32,717.72/48,979.62 = 20,197.49/x
  3. Step 3: Cross multiply
    32,717.72x = 48,979.62 × 20,197.49
  4. Step 4: Simplify right side
    32,717.72x = 989,265,140.26
  5. Step 5: Solve for x
    x = 989,265,140.26/32,717.72
  6. Step 6: Final answer
    x = 30,236.37

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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.