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Finding the Fourth Proportional to 32,230.72, 48,348.41 and 13,491.88

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Solution

The fourth proportional to 32,230.72, 48,348.41 and 13,491.88 is: 20,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.72 : 48,348.41 = 13,491.88 : x
  2. Step 2: Convert to fraction form
    32,230.72/48,348.41 = 13,491.88/x
  3. Step 3: Cross multiply
    32,230.72x = 48,348.41 × 13,491.88
  4. Step 4: Simplify right side
    32,230.72x = 652,310,757.58
  5. Step 5: Solve for x
    x = 652,310,757.58/32,230.72
  6. Step 6: Final answer
    x = 20,238.79

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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.