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Finding the Fourth Proportional to 33,643.50, 50,464.29 and 10,266.54

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Solution

The fourth proportional to 33,643.50, 50,464.29 and 10,266.54 is: 15,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.50 : 50,464.29 = 10,266.54 : x
  2. Step 2: Convert to fraction form
    33,643.50/50,464.29 = 10,266.54/x
  3. Step 3: Cross multiply
    33,643.50x = 50,464.29 × 10,266.54
  4. Step 4: Simplify right side
    33,643.50x = 518,093,651.86
  5. Step 5: Solve for x
    x = 518,093,651.86/33,643.50
  6. Step 6: Final answer
    x = 15,399.52

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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.