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Finding the Fourth Proportional to 33,492.50, 50,238.75 and 13,781.78

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Solution

The fourth proportional to 33,492.50, 50,238.75 and 13,781.78 is: 20,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492.50 : 50,238.75 = 13,781.78 : x
  2. Step 2: Convert to fraction form
    33,492.50/50,238.75 = 13,781.78/x
  3. Step 3: Cross multiply
    33,492.50x = 50,238.75 × 13,781.78
  4. Step 4: Simplify right side
    33,492.50x = 692,379,399.98
  5. Step 5: Solve for x
    x = 692,379,399.98/33,492.50
  6. Step 6: Final answer
    x = 20,672.67

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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.