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Finding the Fourth Proportional to 33,814.34, 50,675.30 and 12,733.21

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Solution

The fourth proportional to 33,814.34, 50,675.30 and 12,733.21 is: 19,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.34 : 50,675.30 = 12,733.21 : x
  2. Step 2: Convert to fraction form
    33,814.34/50,675.30 = 12,733.21/x
  3. Step 3: Cross multiply
    33,814.34x = 50,675.30 × 12,733.21
  4. Step 4: Simplify right side
    33,814.34x = 645,259,236.71
  5. Step 5: Solve for x
    x = 645,259,236.71/33,814.34
  6. Step 6: Final answer
    x = 19,082.41

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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.