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Finding the Fourth Proportional to 30,540.64, 42,093.44 and 20,313.37

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Solution

The fourth proportional to 30,540.64, 42,093.44 and 20,313.37 is: 27,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.64 : 42,093.44 = 20,313.37 : x
  2. Step 2: Convert to fraction form
    30,540.64/42,093.44 = 20,313.37/x
  3. Step 3: Cross multiply
    30,540.64x = 42,093.44 × 20,313.37
  4. Step 4: Simplify right side
    30,540.64x = 855,059,414.49
  5. Step 5: Solve for x
    x = 855,059,414.49/30,540.64
  6. Step 6: Final answer
    x = 27,997.43

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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.