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Finding the Fourth Proportional to 37,853.36, 52,236.96 and 21,086

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Solution

The fourth proportional to 37,853.36, 52,236.96 and 21,086 is: 29,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,853.36 : 52,236.96 = 21,086 : x
  2. Step 2: Convert to fraction form
    37,853.36/52,236.96 = 21,086/x
  3. Step 3: Cross multiply
    37,853.36x = 52,236.96 × 21,086
  4. Step 4: Simplify right side
    37,853.36x = 1,101,468,538.56
  5. Step 5: Solve for x
    x = 1,101,468,538.56/37,853.36
  6. Step 6: Final answer
    x = 29,098.30

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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.