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Finding the Fourth Proportional to 32,207.20, 48,310.80 and 8,832.80

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Solution

The fourth proportional to 32,207.20, 48,310.80 and 8,832.80 is: 13,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.20 : 48,310.80 = 8,832.80 : x
  2. Step 2: Convert to fraction form
    32,207.20/48,310.80 = 8,832.80/x
  3. Step 3: Cross multiply
    32,207.20x = 48,310.80 × 8,832.80
  4. Step 4: Simplify right side
    32,207.20x = 426,719,634.24
  5. Step 5: Solve for x
    x = 426,719,634.24/32,207.20
  6. Step 6: Final answer
    x = 13,249.20

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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.