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Finding the Fourth Proportional to 51,883.37, 77,704.37 and 50,085.43

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Solution

The fourth proportional to 51,883.37, 77,704.37 and 50,085.43 is: 75,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.37 : 77,704.37 = 50,085.43 : x
  2. Step 2: Convert to fraction form
    51,883.37/77,704.37 = 50,085.43/x
  3. Step 3: Cross multiply
    51,883.37x = 77,704.37 × 50,085.43
  4. Step 4: Simplify right side
    51,883.37x = 3,891,856,555.54
  5. Step 5: Solve for x
    x = 3,891,856,555.54/51,883.37
  6. Step 6: Final answer
    x = 75,011.64

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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.