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Finding the Fourth Proportional to 41,958, 62,961.71 and 18,584.64

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Solution

The fourth proportional to 41,958, 62,961.71 and 18,584.64 is: 27,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,958 : 62,961.71 = 18,584.64 : x
  2. Step 2: Convert to fraction form
    41,958/62,961.71 = 18,584.64/x
  3. Step 3: Cross multiply
    41,958x = 62,961.71 × 18,584.64
  4. Step 4: Simplify right side
    41,958x = 1,170,120,621.21
  5. Step 5: Solve for x
    x = 1,170,120,621.21/41,958
  6. Step 6: Final answer
    x = 27,887.90

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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.