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Finding the Fourth Proportional to 37,097.36, 51,193.32 and 20,330

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Solution

The fourth proportional to 37,097.36, 51,193.32 and 20,330 is: 28,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.36 : 51,193.32 = 20,330 : x
  2. Step 2: Convert to fraction form
    37,097.36/51,193.32 = 20,330/x
  3. Step 3: Cross multiply
    37,097.36x = 51,193.32 × 20,330
  4. Step 4: Simplify right side
    37,097.36x = 1,040,760,195.60
  5. Step 5: Solve for x
    x = 1,040,760,195.60/37,097.36
  6. Step 6: Final answer
    x = 28,054.83

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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.