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Finding the Fourth Proportional to 111,857.22, 167,829.57 and 41,742

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Solution

The fourth proportional to 111,857.22, 167,829.57 and 41,742 is: 62,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,857.22 : 167,829.57 = 41,742 : x
  2. Step 2: Convert to fraction form
    111,857.22/167,829.57 = 41,742/x
  3. Step 3: Cross multiply
    111,857.22x = 167,829.57 × 41,742
  4. Step 4: Simplify right side
    111,857.22x = 7,005,541,910.94
  5. Step 5: Solve for x
    x = 7,005,541,910.94/111,857.22
  6. Step 6: Final answer
    x = 62,629.32

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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.