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Finding the Fourth Proportional to 37,097.54, 51,171.86 and 30,301.44

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Solution

The fourth proportional to 37,097.54, 51,171.86 and 30,301.44 is: 41,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.54 : 51,171.86 = 30,301.44 : x
  2. Step 2: Convert to fraction form
    37,097.54/51,171.86 = 30,301.44/x
  3. Step 3: Cross multiply
    37,097.54x = 51,171.86 × 30,301.44
  4. Step 4: Simplify right side
    37,097.54x = 1,550,580,789.62
  5. Step 5: Solve for x
    x = 1,550,580,789.62/37,097.54
  6. Step 6: Final answer
    x = 41,797.40

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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.