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Finding the Fourth Proportional to 33,756.88, 50,589.14 and 15,724.12

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Solution

The fourth proportional to 33,756.88, 50,589.14 and 15,724.12 is: 23,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,756.88 : 50,589.14 = 15,724.12 : x
  2. Step 2: Convert to fraction form
    33,756.88/50,589.14 = 15,724.12/x
  3. Step 3: Cross multiply
    33,756.88x = 50,589.14 × 15,724.12
  4. Step 4: Simplify right side
    33,756.88x = 795,469,708.06
  5. Step 5: Solve for x
    x = 795,469,708.06/33,756.88
  6. Step 6: Final answer
    x = 23,564.67

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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.