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Finding the Fourth Proportional to 54,651.68, 75,420.42 and 33,141.32

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Solution

The fourth proportional to 54,651.68, 75,420.42 and 33,141.32 is: 45,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.68 : 75,420.42 = 33,141.32 : x
  2. Step 2: Convert to fraction form
    54,651.68/75,420.42 = 33,141.32/x
  3. Step 3: Cross multiply
    54,651.68x = 75,420.42 × 33,141.32
  4. Step 4: Simplify right side
    54,651.68x = 2,499,532,273.75
  5. Step 5: Solve for x
    x = 2,499,532,273.75/54,651.68
  6. Step 6: Final answer
    x = 45,735.69

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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.