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Finding the Fourth Proportional to 29,324.42, 43,986.02 and 7,137.92

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Solution

The fourth proportional to 29,324.42, 43,986.02 and 7,137.92 is: 10,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.42 : 43,986.02 = 7,137.92 : x
  2. Step 2: Convert to fraction form
    29,324.42/43,986.02 = 7,137.92/x
  3. Step 3: Cross multiply
    29,324.42x = 43,986.02 × 7,137.92
  4. Step 4: Simplify right side
    29,324.42x = 313,968,691.88
  5. Step 5: Solve for x
    x = 313,968,691.88/29,324.42
  6. Step 6: Final answer
    x = 10,706.73

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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.