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Finding the Fourth Proportional to 40,203.28, 55,477.80 and 22,297.60

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Solution

The fourth proportional to 40,203.28, 55,477.80 and 22,297.60 is: 30,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,203.28 : 55,477.80 = 22,297.60 : x
  2. Step 2: Convert to fraction form
    40,203.28/55,477.80 = 22,297.60/x
  3. Step 3: Cross multiply
    40,203.28x = 55,477.80 × 22,297.60
  4. Step 4: Simplify right side
    40,203.28x = 1,237,021,793.28
  5. Step 5: Solve for x
    x = 1,237,021,793.28/40,203.28
  6. Step 6: Final answer
    x = 30,769.18

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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.