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Finding the Fourth Proportional to 54,993.72, 82,453.56 and 25,395.24

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Solution

The fourth proportional to 54,993.72, 82,453.56 and 25,395.24 is: 38,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993.72 : 82,453.56 = 25,395.24 : x
  2. Step 2: Convert to fraction form
    54,993.72/82,453.56 = 25,395.24/x
  3. Step 3: Cross multiply
    54,993.72x = 82,453.56 × 25,395.24
  4. Step 4: Simplify right side
    54,993.72x = 2,093,927,945.05
  5. Step 5: Solve for x
    x = 2,093,927,945.05/54,993.72
  6. Step 6: Final answer
    x = 38,075.76

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Why These Related Problems?

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