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Finding the Fourth Proportional to 37,000, 51,060 and 20,233

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Solution

The fourth proportional to 37,000, 51,060 and 20,233 is: 27,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000 : 51,060 = 20,233 : x
  2. Step 2: Convert to fraction form
    37,000/51,060 = 20,233/x
  3. Step 3: Cross multiply
    37,000x = 51,060 × 20,233
  4. Step 4: Simplify right side
    37,000x = 1,033,096,980
  5. Step 5: Solve for x
    x = 1,033,096,980/37,000
  6. Step 6: Final answer
    x = 27,921.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.