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Finding the Fourth Proportional to 30,563.82, 45,853 and 11,844.30

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Solution

The fourth proportional to 30,563.82, 45,853 and 11,844.30 is: 17,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.82 : 45,853 = 11,844.30 : x
  2. Step 2: Convert to fraction form
    30,563.82/45,853 = 11,844.30/x
  3. Step 3: Cross multiply
    30,563.82x = 45,853 × 11,844.30
  4. Step 4: Simplify right side
    30,563.82x = 543,096,687.90
  5. Step 5: Solve for x
    x = 543,096,687.90/30,563.82
  6. Step 6: Final answer
    x = 17,769.27

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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.