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Finding the Fourth Proportional to 37,778.62, 51,802.96 and 36,794.47

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Solution

The fourth proportional to 37,778.62, 51,802.96 and 36,794.47 is: 50,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,778.62 : 51,802.96 = 36,794.47 : x
  2. Step 2: Convert to fraction form
    37,778.62/51,802.96 = 36,794.47/x
  3. Step 3: Cross multiply
    37,778.62x = 51,802.96 × 36,794.47
  4. Step 4: Simplify right side
    37,778.62x = 1,906,062,402.26
  5. Step 5: Solve for x
    x = 1,906,062,402.26/37,778.62
  6. Step 6: Final answer
    x = 50,453.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.