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Finding the Fourth Proportional to 57,321.72, 85,977.48 and 19,881

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Solution

The fourth proportional to 57,321.72, 85,977.48 and 19,881 is: 29,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,321.72 : 85,977.48 = 19,881 : x
  2. Step 2: Convert to fraction form
    57,321.72/85,977.48 = 19,881/x
  3. Step 3: Cross multiply
    57,321.72x = 85,977.48 × 19,881
  4. Step 4: Simplify right side
    57,321.72x = 1,709,318,279.88
  5. Step 5: Solve for x
    x = 1,709,318,279.88/57,321.72
  6. Step 6: Final answer
    x = 29,819.73

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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.