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Finding the Fourth Proportional to 52,234.26, 78,361.14 and 17,198.52

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Solution

The fourth proportional to 52,234.26, 78,361.14 and 17,198.52 is: 25,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234.26 : 78,361.14 = 17,198.52 : x
  2. Step 2: Convert to fraction form
    52,234.26/78,361.14 = 17,198.52/x
  3. Step 3: Cross multiply
    52,234.26x = 78,361.14 × 17,198.52
  4. Step 4: Simplify right side
    52,234.26x = 1,347,695,633.51
  5. Step 5: Solve for x
    x = 1,347,695,633.51/52,234.26
  6. Step 6: Final answer
    x = 25,800.99

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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.