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Finding the Fourth Proportional to 40,157.05, 55,415.22 and 23,162

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Solution

The fourth proportional to 40,157.05, 55,415.22 and 23,162 is: 31,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,157.05 : 55,415.22 = 23,162 : x
  2. Step 2: Convert to fraction form
    40,157.05/55,415.22 = 23,162/x
  3. Step 3: Cross multiply
    40,157.05x = 55,415.22 × 23,162
  4. Step 4: Simplify right side
    40,157.05x = 1,283,527,325.64
  5. Step 5: Solve for x
    x = 1,283,527,325.64/40,157.05
  6. Step 6: Final answer
    x = 31,962.69

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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.