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Finding the Fourth Proportional to 33,509.44, 50,266.59 and 11,315.44

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Solution

The fourth proportional to 33,509.44, 50,266.59 and 11,315.44 is: 16,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.44 : 50,266.59 = 11,315.44 : x
  2. Step 2: Convert to fraction form
    33,509.44/50,266.59 = 11,315.44/x
  3. Step 3: Cross multiply
    33,509.44x = 50,266.59 × 11,315.44
  4. Step 4: Simplify right side
    33,509.44x = 568,788,583.15
  5. Step 5: Solve for x
    x = 568,788,583.15/33,509.44
  6. Step 6: Final answer
    x = 16,973.98

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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.