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Finding the Fourth Proportional to 57,906.54, 86,373 and 52,591.32

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Solution

The fourth proportional to 57,906.54, 86,373 and 52,591.32 is: 78,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906.54 : 86,373 = 52,591.32 : x
  2. Step 2: Convert to fraction form
    57,906.54/86,373 = 52,591.32/x
  3. Step 3: Cross multiply
    57,906.54x = 86,373 × 52,591.32
  4. Step 4: Simplify right side
    57,906.54x = 4,542,470,082.36
  5. Step 5: Solve for x
    x = 4,542,470,082.36/57,906.54
  6. Step 6: Final answer
    x = 78,444.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.