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Finding the Fourth Proportional to 51,313.44, 76,993.92 and 21,738.24

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Solution

The fourth proportional to 51,313.44, 76,993.92 and 21,738.24 is: 32,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,313.44 : 76,993.92 = 21,738.24 : x
  2. Step 2: Convert to fraction form
    51,313.44/76,993.92 = 21,738.24/x
  3. Step 3: Cross multiply
    51,313.44x = 76,993.92 × 21,738.24
  4. Step 4: Simplify right side
    51,313.44x = 1,673,712,311.50
  5. Step 5: Solve for x
    x = 1,673,712,311.50/51,313.44
  6. Step 6: Final answer
    x = 32,617.43

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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.