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Finding the Fourth Proportional to 33,709.50, 50,572.35 and 12,933

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Solution

The fourth proportional to 33,709.50, 50,572.35 and 12,933 is: 19,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.50 : 50,572.35 = 12,933 : x
  2. Step 2: Convert to fraction form
    33,709.50/50,572.35 = 12,933/x
  3. Step 3: Cross multiply
    33,709.50x = 50,572.35 × 12,933
  4. Step 4: Simplify right side
    33,709.50x = 654,052,202.55
  5. Step 5: Solve for x
    x = 654,052,202.55/33,709.50
  6. Step 6: Final answer
    x = 19,402.61

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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.