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Finding the Fourth Proportional to 111,784.49, 167,676.83 and 27,544.66

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Solution

The fourth proportional to 111,784.49, 167,676.83 and 27,544.66 is: 41,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,784.49 : 167,676.83 = 27,544.66 : x
  2. Step 2: Convert to fraction form
    111,784.49/167,676.83 = 27,544.66/x
  3. Step 3: Cross multiply
    111,784.49x = 167,676.83 × 27,544.66
  4. Step 4: Simplify right side
    111,784.49x = 4,618,601,344.10
  5. Step 5: Solve for x
    x = 4,618,601,344.10/111,784.49
  6. Step 6: Final answer
    x = 41,317.02

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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.