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Finding the Fourth Proportional to 29,163.28, 43,745.88 and 9,442

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Solution

The fourth proportional to 29,163.28, 43,745.88 and 9,442 is: 14,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,163.28 : 43,745.88 = 9,442 : x
  2. Step 2: Convert to fraction form
    29,163.28/43,745.88 = 9,442/x
  3. Step 3: Cross multiply
    29,163.28x = 43,745.88 × 9,442
  4. Step 4: Simplify right side
    29,163.28x = 413,048,598.96
  5. Step 5: Solve for x
    x = 413,048,598.96/29,163.28
  6. Step 6: Final answer
    x = 14,163.31

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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.