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Finding the Fourth Proportional to 36,616.50, 54,930.48 and 11,662.14

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Solution

The fourth proportional to 36,616.50, 54,930.48 and 11,662.14 is: 17,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,616.50 : 54,930.48 = 11,662.14 : x
  2. Step 2: Convert to fraction form
    36,616.50/54,930.48 = 11,662.14/x
  3. Step 3: Cross multiply
    36,616.50x = 54,930.48 × 11,662.14
  4. Step 4: Simplify right side
    36,616.50x = 640,606,948.03
  5. Step 5: Solve for x
    x = 640,606,948.03/36,616.50
  6. Step 6: Final answer
    x = 17,495.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.