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Finding the Fourth Proportional to 33,509.66, 50,269.95 and 11,324.34

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Solution

The fourth proportional to 33,509.66, 50,269.95 and 11,324.34 is: 16,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.66 : 50,269.95 = 11,324.34 : x
  2. Step 2: Convert to fraction form
    33,509.66/50,269.95 = 11,324.34/x
  3. Step 3: Cross multiply
    33,509.66x = 50,269.95 × 11,324.34
  4. Step 4: Simplify right side
    33,509.66x = 569,274,005.58
  5. Step 5: Solve for x
    x = 569,274,005.58/33,509.66
  6. Step 6: Final answer
    x = 16,988.36

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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.