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Finding the Fourth Proportional to 32,189.32, 44,404.98 and 23,791.24

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Solution

The fourth proportional to 32,189.32, 44,404.98 and 23,791.24 is: 32,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.32 : 44,404.98 = 23,791.24 : x
  2. Step 2: Convert to fraction form
    32,189.32/44,404.98 = 23,791.24/x
  3. Step 3: Cross multiply
    32,189.32x = 44,404.98 × 23,791.24
  4. Step 4: Simplify right side
    32,189.32x = 1,056,449,536.38
  5. Step 5: Solve for x
    x = 1,056,449,536.38/32,189.32
  6. Step 6: Final answer
    x = 32,819.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.