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Finding the Fourth Proportional to 40,906.32, 56,450.44 and 23,242.32

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Solution

The fourth proportional to 40,906.32, 56,450.44 and 23,242.32 is: 32,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,906.32 : 56,450.44 = 23,242.32 : x
  2. Step 2: Convert to fraction form
    40,906.32/56,450.44 = 23,242.32/x
  3. Step 3: Cross multiply
    40,906.32x = 56,450.44 × 23,242.32
  4. Step 4: Simplify right side
    40,906.32x = 1,312,039,190.62
  5. Step 5: Solve for x
    x = 1,312,039,190.62/40,906.32
  6. Step 6: Final answer
    x = 32,074.24

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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.