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Finding the Fourth Proportional to 69,223.60, 103,764.93 and 31,757.86

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Solution

The fourth proportional to 69,223.60, 103,764.93 and 31,757.86 is: 47,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,223.60 : 103,764.93 = 31,757.86 : x
  2. Step 2: Convert to fraction form
    69,223.60/103,764.93 = 31,757.86/x
  3. Step 3: Cross multiply
    69,223.60x = 103,764.93 × 31,757.86
  4. Step 4: Simplify right side
    69,223.60x = 3,295,352,119.85
  5. Step 5: Solve for x
    x = 3,295,352,119.85/69,223.60
  6. Step 6: Final answer
    x = 47,604.46

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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.