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Finding the Fourth Proportional to 31,982.30, 44,716.90 and 31,982.30

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Solution

The fourth proportional to 31,982.30, 44,716.90 and 31,982.30 is: 44,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.30 : 44,716.90 = 31,982.30 : x
  2. Step 2: Convert to fraction form
    31,982.30/44,716.90 = 31,982.30/x
  3. Step 3: Cross multiply
    31,982.30x = 44,716.90 × 31,982.30
  4. Step 4: Simplify right side
    31,982.30x = 1,430,149,310.87
  5. Step 5: Solve for x
    x = 1,430,149,310.87/31,982.30
  6. Step 6: Final answer
    x = 44,716.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.