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Finding the Fourth Proportional to 37,041, 51,116.58 and 20,274

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Solution

The fourth proportional to 37,041, 51,116.58 and 20,274 is: 27,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,041 : 51,116.58 = 20,274 : x
  2. Step 2: Convert to fraction form
    37,041/51,116.58 = 20,274/x
  3. Step 3: Cross multiply
    37,041x = 51,116.58 × 20,274
  4. Step 4: Simplify right side
    37,041x = 1,036,337,542.92
  5. Step 5: Solve for x
    x = 1,036,337,542.92/37,041
  6. Step 6: Final answer
    x = 27,978.12

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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.