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Finding the Fourth Proportional to 54,940.78, 75,796.80 and 35,842.99

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Solution

The fourth proportional to 54,940.78, 75,796.80 and 35,842.99 is: 49,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.78 : 75,796.80 = 35,842.99 : x
  2. Step 2: Convert to fraction form
    54,940.78/75,796.80 = 35,842.99/x
  3. Step 3: Cross multiply
    54,940.78x = 75,796.80 × 35,842.99
  4. Step 4: Simplify right side
    54,940.78x = 2,716,783,944.43
  5. Step 5: Solve for x
    x = 2,716,783,944.43/54,940.78
  6. Step 6: Final answer
    x = 49,449.32

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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.