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Finding the Fourth Proportional to 50,844.56, 76,267.56 and 15,782

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Solution

The fourth proportional to 50,844.56, 76,267.56 and 15,782 is: 23,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,844.56 : 76,267.56 = 15,782 : x
  2. Step 2: Convert to fraction form
    50,844.56/76,267.56 = 15,782/x
  3. Step 3: Cross multiply
    50,844.56x = 76,267.56 × 15,782
  4. Step 4: Simplify right side
    50,844.56x = 1,203,654,631.92
  5. Step 5: Solve for x
    x = 1,203,654,631.92/50,844.56
  6. Step 6: Final answer
    x = 23,673.22

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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.