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Finding the Fourth Proportional to 36,540, 50,425.25 and 19,773

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Solution

The fourth proportional to 36,540, 50,425.25 and 19,773 is: 27,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 50,425.25 = 19,773 : x
  2. Step 2: Convert to fraction form
    36,540/50,425.25 = 19,773/x
  3. Step 3: Cross multiply
    36,540x = 50,425.25 × 19,773
  4. Step 4: Simplify right side
    36,540x = 997,058,369.39
  5. Step 5: Solve for x
    x = 997,058,369.39/36,540
  6. Step 6: Final answer
    x = 27,286.76

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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.