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Finding the Fourth Proportional to 57,027.87, 85,541.85 and 15,474.87

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Solution

The fourth proportional to 57,027.87, 85,541.85 and 15,474.87 is: 23,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,027.87 : 85,541.85 = 15,474.87 : x
  2. Step 2: Convert to fraction form
    57,027.87/85,541.85 = 15,474.87/x
  3. Step 3: Cross multiply
    57,027.87x = 85,541.85 × 15,474.87
  4. Step 4: Simplify right side
    57,027.87x = 1,323,749,008.31
  5. Step 5: Solve for x
    x = 1,323,749,008.31/57,027.87
  6. Step 6: Final answer
    x = 23,212.32

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Why These Related Problems?

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