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Finding the Fourth Proportional to 33,563.66, 50,314.05 and 11,361.50

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Solution

The fourth proportional to 33,563.66, 50,314.05 and 11,361.50 is: 17,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.66 : 50,314.05 = 11,361.50 : x
  2. Step 2: Convert to fraction form
    33,563.66/50,314.05 = 11,361.50/x
  3. Step 3: Cross multiply
    33,563.66x = 50,314.05 × 11,361.50
  4. Step 4: Simplify right side
    33,563.66x = 571,642,827.50
  5. Step 5: Solve for x
    x = 571,642,827.50/33,563.66
  6. Step 6: Final answer
    x = 17,031.60

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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.