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Finding the Fourth Proportional to 54,884, 75,741.24 and 33,650.96

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Solution

The fourth proportional to 54,884, 75,741.24 and 33,650.96 is: 46,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,884 : 75,741.24 = 33,650.96 : x
  2. Step 2: Convert to fraction form
    54,884/75,741.24 = 33,650.96/x
  3. Step 3: Cross multiply
    54,884x = 75,741.24 × 33,650.96
  4. Step 4: Simplify right side
    54,884x = 2,548,765,437.59
  5. Step 5: Solve for x
    x = 2,548,765,437.59/54,884
  6. Step 6: Final answer
    x = 46,439.13

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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.