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Finding the Fourth Proportional to 33,302.61, 49,915.10 and 12,226.75

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Solution

The fourth proportional to 33,302.61, 49,915.10 and 12,226.75 is: 18,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.61 : 49,915.10 = 12,226.75 : x
  2. Step 2: Convert to fraction form
    33,302.61/49,915.10 = 12,226.75/x
  3. Step 3: Cross multiply
    33,302.61x = 49,915.10 × 12,226.75
  4. Step 4: Simplify right side
    33,302.61x = 610,299,354.70
  5. Step 5: Solve for x
    x = 610,299,354.70/33,302.61
  6. Step 6: Final answer
    x = 18,325.87

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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.