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Finding the Fourth Proportional to 33,706.89, 50,561.51 and 12,644.78

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Solution

The fourth proportional to 33,706.89, 50,561.51 and 12,644.78 is: 18,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.89 : 50,561.51 = 12,644.78 : x
  2. Step 2: Convert to fraction form
    33,706.89/50,561.51 = 12,644.78/x
  3. Step 3: Cross multiply
    33,706.89x = 50,561.51 × 12,644.78
  4. Step 4: Simplify right side
    33,706.89x = 639,338,854.39
  5. Step 5: Solve for x
    x = 639,338,854.39/33,706.89
  6. Step 6: Final answer
    x = 18,967.60

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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.