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Finding the Fourth Proportional to 37,857.80, 52,245.53 and 21,947.24

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Solution

The fourth proportional to 37,857.80, 52,245.53 and 21,947.24 is: 30,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.80 : 52,245.53 = 21,947.24 : x
  2. Step 2: Convert to fraction form
    37,857.80/52,245.53 = 21,947.24/x
  3. Step 3: Cross multiply
    37,857.80x = 52,245.53 × 21,947.24
  4. Step 4: Simplify right side
    37,857.80x = 1,146,644,814.87
  5. Step 5: Solve for x
    x = 1,146,644,814.87/37,857.80
  6. Step 6: Final answer
    x = 30,288.21

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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.