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Finding the Fourth Proportional to 69,027, 103,540.50 and 22,286.76

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Solution

The fourth proportional to 69,027, 103,540.50 and 22,286.76 is: 33,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027 : 103,540.50 = 22,286.76 : x
  2. Step 2: Convert to fraction form
    69,027/103,540.50 = 22,286.76/x
  3. Step 3: Cross multiply
    69,027x = 103,540.50 × 22,286.76
  4. Step 4: Simplify right side
    69,027x = 2,307,582,273.78
  5. Step 5: Solve for x
    x = 2,307,582,273.78/69,027
  6. Step 6: Final answer
    x = 33,430.14

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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.