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Finding the Fourth Proportional to 37,086, 51,178.37 and 20,089.86

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Solution

The fourth proportional to 37,086, 51,178.37 and 20,089.86 is: 27,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,086 : 51,178.37 = 20,089.86 : x
  2. Step 2: Convert to fraction form
    37,086/51,178.37 = 20,089.86/x
  3. Step 3: Cross multiply
    37,086x = 51,178.37 × 20,089.86
  4. Step 4: Simplify right side
    37,086x = 1,028,166,288.33
  5. Step 5: Solve for x
    x = 1,028,166,288.33/37,086
  6. Step 6: Final answer
    x = 27,723.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.