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Finding the Fourth Proportional to 32,092.20, 44,288.10 and 17,944.20

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Solution

The fourth proportional to 32,092.20, 44,288.10 and 17,944.20 is: 24,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.20 : 44,288.10 = 17,944.20 : x
  2. Step 2: Convert to fraction form
    32,092.20/44,288.10 = 17,944.20/x
  3. Step 3: Cross multiply
    32,092.20x = 44,288.10 × 17,944.20
  4. Step 4: Simplify right side
    32,092.20x = 794,714,524.02
  5. Step 5: Solve for x
    x = 794,714,524.02/32,092.20
  6. Step 6: Final answer
    x = 24,763.48

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