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Finding the Fourth Proportional to 36,190.32, 54,296.52 and 17,471

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Solution

The fourth proportional to 36,190.32, 54,296.52 and 17,471 is: 26,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,190.32 : 54,296.52 = 17,471 : x
  2. Step 2: Convert to fraction form
    36,190.32/54,296.52 = 17,471/x
  3. Step 3: Cross multiply
    36,190.32x = 54,296.52 × 17,471
  4. Step 4: Simplify right side
    36,190.32x = 948,614,500.92
  5. Step 5: Solve for x
    x = 948,614,500.92/36,190.32
  6. Step 6: Final answer
    x = 26,211.83

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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.