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Finding the Fourth Proportional to 33,781.76, 50,667.52 and 13,002.24

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Solution

The fourth proportional to 33,781.76, 50,667.52 and 13,002.24 is: 19,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.76 : 50,667.52 = 13,002.24 : x
  2. Step 2: Convert to fraction form
    33,781.76/50,667.52 = 13,002.24/x
  3. Step 3: Cross multiply
    33,781.76x = 50,667.52 × 13,002.24
  4. Step 4: Simplify right side
    33,781.76x = 658,791,255.24
  5. Step 5: Solve for x
    x = 658,791,255.24/33,781.76
  6. Step 6: Final answer
    x = 19,501.39

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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.