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Finding the Fourth Proportional to 40,137.36, 55,390 and 22,232.64

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Solution

The fourth proportional to 40,137.36, 55,390 and 22,232.64 is: 30,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,137.36 : 55,390 = 22,232.64 : x
  2. Step 2: Convert to fraction form
    40,137.36/55,390 = 22,232.64/x
  3. Step 3: Cross multiply
    40,137.36x = 55,390 × 22,232.64
  4. Step 4: Simplify right side
    40,137.36x = 1,231,465,929.60
  5. Step 5: Solve for x
    x = 1,231,465,929.60/40,137.36
  6. Step 6: Final answer
    x = 30,681.29

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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.