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Finding the Fourth Proportional to 33,709.68, 50,571.72 and 12,933

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Solution

The fourth proportional to 33,709.68, 50,571.72 and 12,933 is: 19,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.68 : 50,571.72 = 12,933 : x
  2. Step 2: Convert to fraction form
    33,709.68/50,571.72 = 12,933/x
  3. Step 3: Cross multiply
    33,709.68x = 50,571.72 × 12,933
  4. Step 4: Simplify right side
    33,709.68x = 654,044,054.76
  5. Step 5: Solve for x
    x = 654,044,054.76/33,709.68
  6. Step 6: Final answer
    x = 19,402.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.