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Finding the Fourth Proportional to 51,168.48, 76,770.14 and 31,217.91

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Solution

The fourth proportional to 51,168.48, 76,770.14 and 31,217.91 is: 46,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,168.48 : 76,770.14 = 31,217.91 : x
  2. Step 2: Convert to fraction form
    51,168.48/76,770.14 = 31,217.91/x
  3. Step 3: Cross multiply
    51,168.48x = 76,770.14 × 31,217.91
  4. Step 4: Simplify right side
    51,168.48x = 2,396,603,321.21
  5. Step 5: Solve for x
    x = 2,396,603,321.21/51,168.48
  6. Step 6: Final answer
    x = 46,837.50

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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.