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Finding the Fourth Proportional to 30,571.38, 45,857.26 and 9,794.88

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Solution

The fourth proportional to 30,571.38, 45,857.26 and 9,794.88 is: 14,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.38 : 45,857.26 = 9,794.88 : x
  2. Step 2: Convert to fraction form
    30,571.38/45,857.26 = 9,794.88/x
  3. Step 3: Cross multiply
    30,571.38x = 45,857.26 × 9,794.88
  4. Step 4: Simplify right side
    30,571.38x = 449,166,358.83
  5. Step 5: Solve for x
    x = 449,166,358.83/30,571.38
  6. Step 6: Final answer
    x = 14,692.38

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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.