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Finding the Fourth Proportional to 37,090, 51,183.88 and 20,093.86

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Solution

The fourth proportional to 37,090, 51,183.88 and 20,093.86 is: 27,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 51,183.88 = 20,093.86 : x
  2. Step 2: Convert to fraction form
    37,090/51,183.88 = 20,093.86/x
  3. Step 3: Cross multiply
    37,090x = 51,183.88 × 20,093.86
  4. Step 4: Simplify right side
    37,090x = 1,028,481,718.98
  5. Step 5: Solve for x
    x = 1,028,481,718.98/37,090
  6. Step 6: Final answer
    x = 27,729.35

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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.