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Finding the Fourth Proportional to 111,916, 167,874 and 38,044

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Solution

The fourth proportional to 111,916, 167,874 and 38,044 is: 57,066

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,916 : 167,874 = 38,044 : x
  2. Step 2: Convert to fraction form
    111,916/167,874 = 38,044/x
  3. Step 3: Cross multiply
    111,916x = 167,874 × 38,044
  4. Step 4: Simplify right side
    111,916x = 6,386,598,456
  5. Step 5: Solve for x
    x = 6,386,598,456/111,916
  6. Step 6: Final answer
    x = 57,066

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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.