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Finding the Fourth Proportional to 33,186.96, 49,767.48 and 14,706

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Solution

The fourth proportional to 33,186.96, 49,767.48 and 14,706 is: 22,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,186.96 : 49,767.48 = 14,706 : x
  2. Step 2: Convert to fraction form
    33,186.96/49,767.48 = 14,706/x
  3. Step 3: Cross multiply
    33,186.96x = 49,767.48 × 14,706
  4. Step 4: Simplify right side
    33,186.96x = 731,880,560.88
  5. Step 5: Solve for x
    x = 731,880,560.88/33,186.96
  6. Step 6: Final answer
    x = 22,053.26

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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.