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Finding the Fourth Proportional to 37,855.65, 52,245.83 and 21,729.33

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Solution

The fourth proportional to 37,855.65, 52,245.83 and 21,729.33 is: 29,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855.65 : 52,245.83 = 21,729.33 : x
  2. Step 2: Convert to fraction form
    37,855.65/52,245.83 = 21,729.33/x
  3. Step 3: Cross multiply
    37,855.65x = 52,245.83 × 21,729.33
  4. Step 4: Simplify right side
    37,855.65x = 1,135,266,772.55
  5. Step 5: Solve for x
    x = 1,135,266,772.55/37,855.65
  6. Step 6: Final answer
    x = 29,989.36

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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.