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Finding the Fourth Proportional to 37,189.51, 51,321.61 and 20,193.75

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Solution

The fourth proportional to 37,189.51, 51,321.61 and 20,193.75 is: 27,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.51 : 51,321.61 = 20,193.75 : x
  2. Step 2: Convert to fraction form
    37,189.51/51,321.61 = 20,193.75/x
  3. Step 3: Cross multiply
    37,189.51x = 51,321.61 × 20,193.75
  4. Step 4: Simplify right side
    37,189.51x = 1,036,375,839.76
  5. Step 5: Solve for x
    x = 1,036,375,839.76/37,189.51
  6. Step 6: Final answer
    x = 27,867.42

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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.