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Finding the Fourth Proportional to 51,860.48, 71,568.92 and 31,717

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Solution

The fourth proportional to 51,860.48, 71,568.92 and 31,717 is: 43,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860.48 : 71,568.92 = 31,717 : x
  2. Step 2: Convert to fraction form
    51,860.48/71,568.92 = 31,717/x
  3. Step 3: Cross multiply
    51,860.48x = 71,568.92 × 31,717
  4. Step 4: Simplify right side
    51,860.48x = 2,269,951,435.64
  5. Step 5: Solve for x
    x = 2,269,951,435.64/51,860.48
  6. Step 6: Final answer
    x = 43,770.35

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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.