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Finding the Fourth Proportional to 50,986.68, 70,333.26 and 47,378.44

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Solution

The fourth proportional to 50,986.68, 70,333.26 and 47,378.44 is: 65,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.68 : 70,333.26 = 47,378.44 : x
  2. Step 2: Convert to fraction form
    50,986.68/70,333.26 = 47,378.44/x
  3. Step 3: Cross multiply
    50,986.68x = 70,333.26 × 47,378.44
  4. Step 4: Simplify right side
    50,986.68x = 3,332,280,138.91
  5. Step 5: Solve for x
    x = 3,332,280,138.91/50,986.68
  6. Step 6: Final answer
    x = 65,355.90

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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.