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Finding the Fourth Proportional to 31,858.56, 47,797.44 and 11,082

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Solution

The fourth proportional to 31,858.56, 47,797.44 and 11,082 is: 16,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.56 : 47,797.44 = 11,082 : x
  2. Step 2: Convert to fraction form
    31,858.56/47,797.44 = 11,082/x
  3. Step 3: Cross multiply
    31,858.56x = 47,797.44 × 11,082
  4. Step 4: Simplify right side
    31,858.56x = 529,691,230.08
  5. Step 5: Solve for x
    x = 529,691,230.08/31,858.56
  6. Step 6: Final answer
    x = 16,626.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.