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Finding the Fourth Proportional to 32,207.32, 48,310.44 and 8,832.88

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Solution

The fourth proportional to 32,207.32, 48,310.44 and 8,832.88 is: 13,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.32 : 48,310.44 = 8,832.88 : x
  2. Step 2: Convert to fraction form
    32,207.32/48,310.44 = 8,832.88/x
  3. Step 3: Cross multiply
    32,207.32x = 48,310.44 × 8,832.88
  4. Step 4: Simplify right side
    32,207.32x = 426,720,319.27
  5. Step 5: Solve for x
    x = 426,720,319.27/32,207.32
  6. Step 6: Final answer
    x = 13,249.17

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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.