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Finding the Fourth Proportional to 33,494.96, 50,216.52 and 15,014

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Solution

The fourth proportional to 33,494.96, 50,216.52 and 15,014 is: 22,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494.96 : 50,216.52 = 15,014 : x
  2. Step 2: Convert to fraction form
    33,494.96/50,216.52 = 15,014/x
  3. Step 3: Cross multiply
    33,494.96x = 50,216.52 × 15,014
  4. Step 4: Simplify right side
    33,494.96x = 753,950,831.28
  5. Step 5: Solve for x
    x = 753,950,831.28/33,494.96
  6. Step 6: Final answer
    x = 22,509.38

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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.