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Finding the Fourth Proportional to 29,193, 43,760.22 and 11,399.16

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Solution

The fourth proportional to 29,193, 43,760.22 and 11,399.16 is: 17,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193 : 43,760.22 = 11,399.16 : x
  2. Step 2: Convert to fraction form
    29,193/43,760.22 = 11,399.16/x
  3. Step 3: Cross multiply
    29,193x = 43,760.22 × 11,399.16
  4. Step 4: Simplify right side
    29,193x = 498,829,749.42
  5. Step 5: Solve for x
    x = 498,829,749.42/29,193
  6. Step 6: Final answer
    x = 17,087.31

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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.