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Finding the Fourth Proportional to 32,451.97, 44,768.10 and 19,014.88

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Solution

The fourth proportional to 32,451.97, 44,768.10 and 19,014.88 is: 26,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.97 : 44,768.10 = 19,014.88 : x
  2. Step 2: Convert to fraction form
    32,451.97/44,768.10 = 19,014.88/x
  3. Step 3: Cross multiply
    32,451.97x = 44,768.10 × 19,014.88
  4. Step 4: Simplify right side
    32,451.97x = 851,260,049.33
  5. Step 5: Solve for x
    x = 851,260,049.33/32,451.97
  6. Step 6: Final answer
    x = 26,231.38

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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.