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Finding the Fourth Proportional to 33,667.50, 50,501.25 and 12,891

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Solution

The fourth proportional to 33,667.50, 50,501.25 and 12,891 is: 19,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,667.50 : 50,501.25 = 12,891 : x
  2. Step 2: Convert to fraction form
    33,667.50/50,501.25 = 12,891/x
  3. Step 3: Cross multiply
    33,667.50x = 50,501.25 × 12,891
  4. Step 4: Simplify right side
    33,667.50x = 651,011,613.75
  5. Step 5: Solve for x
    x = 651,011,613.75/33,667.50
  6. Step 6: Final answer
    x = 19,336.50

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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.