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Finding the Fourth Proportional to 29,027.64, 43,540.98 and 9,305.88

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Solution

The fourth proportional to 29,027.64, 43,540.98 and 9,305.88 is: 13,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,027.64 : 43,540.98 = 9,305.88 : x
  2. Step 2: Convert to fraction form
    29,027.64/43,540.98 = 9,305.88/x
  3. Step 3: Cross multiply
    29,027.64x = 43,540.98 × 9,305.88
  4. Step 4: Simplify right side
    29,027.64x = 405,187,134.96
  5. Step 5: Solve for x
    x = 405,187,134.96/29,027.64
  6. Step 6: Final answer
    x = 13,958.67

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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.