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Finding the Fourth Proportional to 50,659.40, 75,993.42 and 13,224.44

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Solution

The fourth proportional to 50,659.40, 75,993.42 and 13,224.44 is: 19,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,659.40 : 75,993.42 = 13,224.44 : x
  2. Step 2: Convert to fraction form
    50,659.40/75,993.42 = 13,224.44/x
  3. Step 3: Cross multiply
    50,659.40x = 75,993.42 × 13,224.44
  4. Step 4: Simplify right side
    50,659.40x = 1,004,970,423.18
  5. Step 5: Solve for x
    x = 1,004,970,423.18/50,659.40
  6. Step 6: Final answer
    x = 19,837.79

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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.