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Finding the Fourth Proportional to 69,250.37, 103,839.98 and 31,778.19

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Solution

The fourth proportional to 69,250.37, 103,839.98 and 31,778.19 is: 47,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,250.37 : 103,839.98 = 31,778.19 : x
  2. Step 2: Convert to fraction form
    69,250.37/103,839.98 = 31,778.19/x
  3. Step 3: Cross multiply
    69,250.37x = 103,839.98 × 31,778.19
  4. Step 4: Simplify right side
    69,250.37x = 3,299,846,455.15
  5. Step 5: Solve for x
    x = 3,299,846,455.15/69,250.37
  6. Step 6: Final answer
    x = 47,650.96

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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.