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Finding the Fourth Proportional to 54,826.30, 82,272.26 and 50,364.82

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Solution

The fourth proportional to 54,826.30, 82,272.26 and 50,364.82 is: 75,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,826.30 : 82,272.26 = 50,364.82 : x
  2. Step 2: Convert to fraction form
    54,826.30/82,272.26 = 50,364.82/x
  3. Step 3: Cross multiply
    54,826.30x = 82,272.26 × 50,364.82
  4. Step 4: Simplify right side
    54,826.30x = 4,143,627,314.07
  5. Step 5: Solve for x
    x = 4,143,627,314.07/54,826.30
  6. Step 6: Final answer
    x = 75,577.37

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