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Finding the Fourth Proportional to 51,163.59, 76,793.38 and 31,480.59

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Solution

The fourth proportional to 51,163.59, 76,793.38 and 31,480.59 is: 47,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,163.59 : 76,793.38 = 31,480.59 : x
  2. Step 2: Convert to fraction form
    51,163.59/76,793.38 = 31,480.59/x
  3. Step 3: Cross multiply
    51,163.59x = 76,793.38 × 31,480.59
  4. Step 4: Simplify right side
    51,163.59x = 2,417,500,831.79
  5. Step 5: Solve for x
    x = 2,417,500,831.79/51,163.59
  6. Step 6: Final answer
    x = 47,250.41

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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.