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Finding the Fourth Proportional to 29,745.78, 44,622.78 and 10,029.97

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Solution

The fourth proportional to 29,745.78, 44,622.78 and 10,029.97 is: 15,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745.78 : 44,622.78 = 10,029.97 : x
  2. Step 2: Convert to fraction form
    29,745.78/44,622.78 = 10,029.97/x
  3. Step 3: Cross multiply
    29,745.78x = 44,622.78 × 10,029.97
  4. Step 4: Simplify right side
    29,745.78x = 447,565,144.72
  5. Step 5: Solve for x
    x = 447,565,144.72/29,745.78
  6. Step 6: Final answer
    x = 15,046.34

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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.