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Finding the Fourth Proportional to 40,168.08, 55,435.86 and 23,400

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Solution

The fourth proportional to 40,168.08, 55,435.86 and 23,400 is: 32,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,168.08 : 55,435.86 = 23,400 : x
  2. Step 2: Convert to fraction form
    40,168.08/55,435.86 = 23,400/x
  3. Step 3: Cross multiply
    40,168.08x = 55,435.86 × 23,400
  4. Step 4: Simplify right side
    40,168.08x = 1,297,199,124
  5. Step 5: Solve for x
    x = 1,297,199,124/40,168.08
  6. Step 6: Final answer
    x = 32,294.28

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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.