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Finding the Fourth Proportional to 62,794.46, 94,099.52 and 31,586.78

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Solution

The fourth proportional to 62,794.46, 94,099.52 and 31,586.78 is: 47,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,794.46 : 94,099.52 = 31,586.78 : x
  2. Step 2: Convert to fraction form
    62,794.46/94,099.52 = 31,586.78/x
  3. Step 3: Cross multiply
    62,794.46x = 94,099.52 × 31,586.78
  4. Step 4: Simplify right side
    62,794.46x = 2,972,300,836.35
  5. Step 5: Solve for x
    x = 2,972,300,836.35/62,794.46
  6. Step 6: Final answer
    x = 47,333.81

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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.