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Finding the Fourth Proportional to 46,231, 69,334.90 and 12,942.44

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Solution

The fourth proportional to 46,231, 69,334.90 and 12,942.44 is: 19,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,231 : 69,334.90 = 12,942.44 : x
  2. Step 2: Convert to fraction form
    46,231/69,334.90 = 12,942.44/x
  3. Step 3: Cross multiply
    46,231x = 69,334.90 × 12,942.44
  4. Step 4: Simplify right side
    46,231x = 897,362,783.16
  5. Step 5: Solve for x
    x = 897,362,783.16/46,231
  6. Step 6: Final answer
    x = 19,410.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.