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Finding the Fourth Proportional to 50,972.78, 70,314.09 and 47,364.54

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Solution

The fourth proportional to 50,972.78, 70,314.09 and 47,364.54 is: 65,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972.78 : 70,314.09 = 47,364.54 : x
  2. Step 2: Convert to fraction form
    50,972.78/70,314.09 = 47,364.54/x
  3. Step 3: Cross multiply
    50,972.78x = 70,314.09 × 47,364.54
  4. Step 4: Simplify right side
    50,972.78x = 3,330,394,234.17
  5. Step 5: Solve for x
    x = 3,330,394,234.17/50,972.78
  6. Step 6: Final answer
    x = 65,336.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.