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Finding the Fourth Proportional to 38,276.96, 57,415.44 and 20,857.50

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Solution

The fourth proportional to 38,276.96, 57,415.44 and 20,857.50 is: 31,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276.96 : 57,415.44 = 20,857.50 : x
  2. Step 2: Convert to fraction form
    38,276.96/57,415.44 = 20,857.50/x
  3. Step 3: Cross multiply
    38,276.96x = 57,415.44 × 20,857.50
  4. Step 4: Simplify right side
    38,276.96x = 1,197,542,539.80
  5. Step 5: Solve for x
    x = 1,197,542,539.80/38,276.96
  6. Step 6: Final answer
    x = 31,286.25

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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.