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Finding the Fourth Proportional to 36,978.54, 55,303.11 and 32,845.38

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Solution

The fourth proportional to 36,978.54, 55,303.11 and 32,845.38 is: 49,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.54 : 55,303.11 = 32,845.38 : x
  2. Step 2: Convert to fraction form
    36,978.54/55,303.11 = 32,845.38/x
  3. Step 3: Cross multiply
    36,978.54x = 55,303.11 × 32,845.38
  4. Step 4: Simplify right side
    36,978.54x = 1,816,451,883.50
  5. Step 5: Solve for x
    x = 1,816,451,883.50/36,978.54
  6. Step 6: Final answer
    x = 49,121.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.