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Finding the Fourth Proportional to 32,480.82, 48,832.38 and 30,045.96

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Solution

The fourth proportional to 32,480.82, 48,832.38 and 30,045.96 is: 45,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.82 : 48,832.38 = 30,045.96 : x
  2. Step 2: Convert to fraction form
    32,480.82/48,832.38 = 30,045.96/x
  3. Step 3: Cross multiply
    32,480.82x = 48,832.38 × 30,045.96
  4. Step 4: Simplify right side
    32,480.82x = 1,467,215,736.18
  5. Step 5: Solve for x
    x = 1,467,215,736.18/32,480.82
  6. Step 6: Final answer
    x = 45,171.76

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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.