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Finding the Fourth Proportional to 47,661.44, 65,745.46 and 29,725.30

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Solution

The fourth proportional to 47,661.44, 65,745.46 and 29,725.30 is: 41,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661.44 : 65,745.46 = 29,725.30 : x
  2. Step 2: Convert to fraction form
    47,661.44/65,745.46 = 29,725.30/x
  3. Step 3: Cross multiply
    47,661.44x = 65,745.46 × 29,725.30
  4. Step 4: Simplify right side
    47,661.44x = 1,954,303,522.14
  5. Step 5: Solve for x
    x = 1,954,303,522.14/47,661.44
  6. Step 6: Final answer
    x = 41,003.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.