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Finding the Fourth Proportional to 57,586.44, 86,184.60 and 35,413.88

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Solution

The fourth proportional to 57,586.44, 86,184.60 and 35,413.88 is: 53,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.44 : 86,184.60 = 35,413.88 : x
  2. Step 2: Convert to fraction form
    57,586.44/86,184.60 = 35,413.88/x
  3. Step 3: Cross multiply
    57,586.44x = 86,184.60 × 35,413.88
  4. Step 4: Simplify right side
    57,586.44x = 3,052,131,082.25
  5. Step 5: Solve for x
    x = 3,052,131,082.25/57,586.44
  6. Step 6: Final answer
    x = 53,000.86

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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.