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Finding the Fourth Proportional to 54,505.92, 75,201.26 and 31,828.55

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Solution

The fourth proportional to 54,505.92, 75,201.26 and 31,828.55 is: 43,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,505.92 : 75,201.26 = 31,828.55 : x
  2. Step 2: Convert to fraction form
    54,505.92/75,201.26 = 31,828.55/x
  3. Step 3: Cross multiply
    54,505.92x = 75,201.26 × 31,828.55
  4. Step 4: Simplify right side
    54,505.92x = 2,393,546,528.82
  5. Step 5: Solve for x
    x = 2,393,546,528.82/54,505.92
  6. Step 6: Final answer
    x = 43,913.52

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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.