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Finding the Fourth Proportional to 30,611.92, 42,205.64 and 23,450.32

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Solution

The fourth proportional to 30,611.92, 42,205.64 and 23,450.32 is: 32,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.92 : 42,205.64 = 23,450.32 : x
  2. Step 2: Convert to fraction form
    30,611.92/42,205.64 = 23,450.32/x
  3. Step 3: Cross multiply
    30,611.92x = 42,205.64 × 23,450.32
  4. Step 4: Simplify right side
    30,611.92x = 989,735,763.80
  5. Step 5: Solve for x
    x = 989,735,763.80/30,611.92
  6. Step 6: Final answer
    x = 32,331.71

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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.