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Finding the Fourth Proportional to 47,223.66, 65,163.24 and 27,075

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Solution

The fourth proportional to 47,223.66, 65,163.24 and 27,075 is: 37,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223.66 : 65,163.24 = 27,075 : x
  2. Step 2: Convert to fraction form
    47,223.66/65,163.24 = 27,075/x
  3. Step 3: Cross multiply
    47,223.66x = 65,163.24 × 27,075
  4. Step 4: Simplify right side
    47,223.66x = 1,764,294,723
  5. Step 5: Solve for x
    x = 1,764,294,723/47,223.66
  6. Step 6: Final answer
    x = 37,360.40

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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.