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Finding the Fourth Proportional to 36,978.56, 51,030.28 and 20,211.56

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Solution

The fourth proportional to 36,978.56, 51,030.28 and 20,211.56 is: 27,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.56 : 51,030.28 = 20,211.56 : x
  2. Step 2: Convert to fraction form
    36,978.56/51,030.28 = 20,211.56/x
  3. Step 3: Cross multiply
    36,978.56x = 51,030.28 × 20,211.56
  4. Step 4: Simplify right side
    36,978.56x = 1,031,401,566.04
  5. Step 5: Solve for x
    x = 1,031,401,566.04/36,978.56
  6. Step 6: Final answer
    x = 27,891.88

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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.