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Finding the Fourth Proportional to 57,622, 86,433 and 13,846

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Solution

The fourth proportional to 57,622, 86,433 and 13,846 is: 20,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,622 : 86,433 = 13,846 : x
  2. Step 2: Convert to fraction form
    57,622/86,433 = 13,846/x
  3. Step 3: Cross multiply
    57,622x = 86,433 × 13,846
  4. Step 4: Simplify right side
    57,622x = 1,196,751,318
  5. Step 5: Solve for x
    x = 1,196,751,318/57,622
  6. Step 6: Final answer
    x = 20,769

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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.