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Finding the Fourth Proportional to 33,542.84, 50,315.98 and 8,583.10

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Solution

The fourth proportional to 33,542.84, 50,315.98 and 8,583.10 is: 12,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.84 : 50,315.98 = 8,583.10 : x
  2. Step 2: Convert to fraction form
    33,542.84/50,315.98 = 8,583.10/x
  3. Step 3: Cross multiply
    33,542.84x = 50,315.98 × 8,583.10
  4. Step 4: Simplify right side
    33,542.84x = 431,867,087.94
  5. Step 5: Solve for x
    x = 431,867,087.94/33,542.84
  6. Step 6: Final answer
    x = 12,875.09

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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.