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Finding the Fourth Proportional to 57,896.56, 86,857.80 and 24,644.98

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Solution

The fourth proportional to 57,896.56, 86,857.80 and 24,644.98 is: 36,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,896.56 : 86,857.80 = 24,644.98 : x
  2. Step 2: Convert to fraction form
    57,896.56/86,857.80 = 24,644.98/x
  3. Step 3: Cross multiply
    57,896.56x = 86,857.80 × 24,644.98
  4. Step 4: Simplify right side
    57,896.56x = 2,140,608,743.84
  5. Step 5: Solve for x
    x = 2,140,608,743.84/57,896.56
  6. Step 6: Final answer
    x = 36,972.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.