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Finding the Fourth Proportional to 33,542.96, 50,316.21 and 8,583.18

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Solution

The fourth proportional to 33,542.96, 50,316.21 and 8,583.18 is: 12,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.96 : 50,316.21 = 8,583.18 : x
  2. Step 2: Convert to fraction form
    33,542.96/50,316.21 = 8,583.18/x
  3. Step 3: Cross multiply
    33,542.96x = 50,316.21 × 8,583.18
  4. Step 4: Simplify right side
    33,542.96x = 431,873,087.35
  5. Step 5: Solve for x
    x = 431,873,087.35/33,542.96
  6. Step 6: Final answer
    x = 12,875.22

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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.