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Finding the Fourth Proportional to 33,534.96, 50,312.97 and 13,822.80

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Solution

The fourth proportional to 33,534.96, 50,312.97 and 13,822.80 is: 20,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534.96 : 50,312.97 = 13,822.80 : x
  2. Step 2: Convert to fraction form
    33,534.96/50,312.97 = 13,822.80/x
  3. Step 3: Cross multiply
    33,534.96x = 50,312.97 × 13,822.80
  4. Step 4: Simplify right side
    33,534.96x = 695,466,121.72
  5. Step 5: Solve for x
    x = 695,466,121.72/33,534.96
  6. Step 6: Final answer
    x = 20,738.54

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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.