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Finding the Fourth Proportional to 37,093, 51,188.34 and 20,325.64

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Solution

The fourth proportional to 37,093, 51,188.34 and 20,325.64 is: 28,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,093 : 51,188.34 = 20,325.64 : x
  2. Step 2: Convert to fraction form
    37,093/51,188.34 = 20,325.64/x
  3. Step 3: Cross multiply
    37,093x = 51,188.34 × 20,325.64
  4. Step 4: Simplify right side
    37,093x = 1,040,435,771.04
  5. Step 5: Solve for x
    x = 1,040,435,771.04/37,093
  6. Step 6: Final answer
    x = 28,049.38

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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.