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Finding the Fourth Proportional to 33,921, 50,846.76 and 14,211

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Solution

The fourth proportional to 33,921, 50,846.76 and 14,211 is: 21,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,921 : 50,846.76 = 14,211 : x
  2. Step 2: Convert to fraction form
    33,921/50,846.76 = 14,211/x
  3. Step 3: Cross multiply
    33,921x = 50,846.76 × 14,211
  4. Step 4: Simplify right side
    33,921x = 722,583,306.36
  5. Step 5: Solve for x
    x = 722,583,306.36/33,921
  6. Step 6: Final answer
    x = 21,301.95

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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.