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Finding the Fourth Proportional to 40,202.40, 55,477.20 and 22,296

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Solution

The fourth proportional to 40,202.40, 55,477.20 and 22,296 is: 30,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,202.40 : 55,477.20 = 22,296 : x
  2. Step 2: Convert to fraction form
    40,202.40/55,477.20 = 22,296/x
  3. Step 3: Cross multiply
    40,202.40x = 55,477.20 × 22,296
  4. Step 4: Simplify right side
    40,202.40x = 1,236,919,651.20
  5. Step 5: Solve for x
    x = 1,236,919,651.20/40,202.40
  6. Step 6: Final answer
    x = 30,767.31

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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.