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Finding the Fourth Proportional to 111,500, 167,250 and 37,628

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Solution

The fourth proportional to 111,500, 167,250 and 37,628 is: 56,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,500 : 167,250 = 37,628 : x
  2. Step 2: Convert to fraction form
    111,500/167,250 = 37,628/x
  3. Step 3: Cross multiply
    111,500x = 167,250 × 37,628
  4. Step 4: Simplify right side
    111,500x = 6,293,283,000
  5. Step 5: Solve for x
    x = 6,293,283,000/111,500
  6. Step 6: Final answer
    x = 56,442

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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.