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Finding the Fourth Proportional to 43,243.88, 64,843.68 and 19,850

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Solution

The fourth proportional to 43,243.88, 64,843.68 and 19,850 is: 29,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,243.88 : 64,843.68 = 19,850 : x
  2. Step 2: Convert to fraction form
    43,243.88/64,843.68 = 19,850/x
  3. Step 3: Cross multiply
    43,243.88x = 64,843.68 × 19,850
  4. Step 4: Simplify right side
    43,243.88x = 1,287,147,048
  5. Step 5: Solve for x
    x = 1,287,147,048/43,243.88
  6. Step 6: Final answer
    x = 29,764.84

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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.