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Finding the Fourth Proportional to 27,571.64, 41,378.40 and 20,195.24

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Solution

The fourth proportional to 27,571.64, 41,378.40 and 20,195.24 is: 30,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.64 : 41,378.40 = 20,195.24 : x
  2. Step 2: Convert to fraction form
    27,571.64/41,378.40 = 20,195.24/x
  3. Step 3: Cross multiply
    27,571.64x = 41,378.40 × 20,195.24
  4. Step 4: Simplify right side
    27,571.64x = 835,646,718.82
  5. Step 5: Solve for x
    x = 835,646,718.82/27,571.64
  6. Step 6: Final answer
    x = 30,308.20

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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.