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Finding the Fourth Proportional to 40,202.78, 55,477.11 and 22,297.10

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Solution

The fourth proportional to 40,202.78, 55,477.11 and 22,297.10 is: 30,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,202.78 : 55,477.11 = 22,297.10 : x
  2. Step 2: Convert to fraction form
    40,202.78/55,477.11 = 22,297.10/x
  3. Step 3: Cross multiply
    40,202.78x = 55,477.11 × 22,297.10
  4. Step 4: Simplify right side
    40,202.78x = 1,236,978,669.38
  5. Step 5: Solve for x
    x = 1,236,978,669.38/40,202.78
  6. Step 6: Final answer
    x = 30,768.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.