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Finding the Fourth Proportional to 33,891.64, 50,831.22 and 14,164.90

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Solution

The fourth proportional to 33,891.64, 50,831.22 and 14,164.90 is: 21,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,891.64 : 50,831.22 = 14,164.90 : x
  2. Step 2: Convert to fraction form
    33,891.64/50,831.22 = 14,164.90/x
  3. Step 3: Cross multiply
    33,891.64x = 50,831.22 × 14,164.90
  4. Step 4: Simplify right side
    33,891.64x = 720,019,148.18
  5. Step 5: Solve for x
    x = 720,019,148.18/33,891.64
  6. Step 6: Final answer
    x = 21,244.74

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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.