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Finding the Fourth Proportional to 32,169.69, 48,241.17 and 12,436.88

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Solution

The fourth proportional to 32,169.69, 48,241.17 and 12,436.88 is: 18,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.69 : 48,241.17 = 12,436.88 : x
  2. Step 2: Convert to fraction form
    32,169.69/48,241.17 = 12,436.88/x
  3. Step 3: Cross multiply
    32,169.69x = 48,241.17 × 12,436.88
  4. Step 4: Simplify right side
    32,169.69x = 599,969,401.14
  5. Step 5: Solve for x
    x = 599,969,401.14/32,169.69
  6. Step 6: Final answer
    x = 18,650.15

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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.