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Finding the Fourth Proportional to 30,786.08, 42,491.60 and 20,012.22

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Solution

The fourth proportional to 30,786.08, 42,491.60 and 20,012.22 is: 27,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.08 : 42,491.60 = 20,012.22 : x
  2. Step 2: Convert to fraction form
    30,786.08/42,491.60 = 20,012.22/x
  3. Step 3: Cross multiply
    30,786.08x = 42,491.60 × 20,012.22
  4. Step 4: Simplify right side
    30,786.08x = 850,351,177.57
  5. Step 5: Solve for x
    x = 850,351,177.57/30,786.08
  6. Step 6: Final answer
    x = 27,621.29

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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.