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Finding the Fourth Proportional to 52,231.20, 78,213.92 and 28,832

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Solution

The fourth proportional to 52,231.20, 78,213.92 and 28,832 is: 43,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,231.20 : 78,213.92 = 28,832 : x
  2. Step 2: Convert to fraction form
    52,231.20/78,213.92 = 28,832/x
  3. Step 3: Cross multiply
    52,231.20x = 78,213.92 × 28,832
  4. Step 4: Simplify right side
    52,231.20x = 2,255,063,741.44
  5. Step 5: Solve for x
    x = 2,255,063,741.44/52,231.20
  6. Step 6: Final answer
    x = 43,174.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.