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Finding the Fourth Proportional to 65,873.86, 90,883.22 and 37,189.94

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Solution

The fourth proportional to 65,873.86, 90,883.22 and 37,189.94 is: 51,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.86 : 90,883.22 = 37,189.94 : x
  2. Step 2: Convert to fraction form
    65,873.86/90,883.22 = 37,189.94/x
  3. Step 3: Cross multiply
    65,873.86x = 90,883.22 × 37,189.94
  4. Step 4: Simplify right side
    65,873.86x = 3,379,940,858.44
  5. Step 5: Solve for x
    x = 3,379,940,858.44/65,873.86
  6. Step 6: Final answer
    x = 51,309.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.