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Finding the Fourth Proportional to 37,096.86, 51,193.68 and 20,101.26

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Solution

The fourth proportional to 37,096.86, 51,193.68 and 20,101.26 is: 27,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,096.86 : 51,193.68 = 20,101.26 : x
  2. Step 2: Convert to fraction form
    37,096.86/51,193.68 = 20,101.26/x
  3. Step 3: Cross multiply
    37,096.86x = 51,193.68 × 20,101.26
  4. Step 4: Simplify right side
    37,096.86x = 1,029,057,472.04
  5. Step 5: Solve for x
    x = 1,029,057,472.04/37,096.86
  6. Step 6: Final answer
    x = 27,739.75

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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.