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Finding the Fourth Proportional to 38,591.82, 57,905.73 and 13,650.75

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Solution

The fourth proportional to 38,591.82, 57,905.73 and 13,650.75 is: 20,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.82 : 57,905.73 = 13,650.75 : x
  2. Step 2: Convert to fraction form
    38,591.82/57,905.73 = 13,650.75/x
  3. Step 3: Cross multiply
    38,591.82x = 57,905.73 × 13,650.75
  4. Step 4: Simplify right side
    38,591.82x = 790,456,643.80
  5. Step 5: Solve for x
    x = 790,456,643.80/38,591.82
  6. Step 6: Final answer
    x = 20,482.49

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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.