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Finding the Fourth Proportional to 57,672.70, 86,509.05 and 35,413.90

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Solution

The fourth proportional to 57,672.70, 86,509.05 and 35,413.90 is: 53,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672.70 : 86,509.05 = 35,413.90 : x
  2. Step 2: Convert to fraction form
    57,672.70/86,509.05 = 35,413.90/x
  3. Step 3: Cross multiply
    57,672.70x = 86,509.05 × 35,413.90
  4. Step 4: Simplify right side
    57,672.70x = 3,063,622,845.80
  5. Step 5: Solve for x
    x = 3,063,622,845.80/57,672.70
  6. Step 6: Final answer
    x = 53,120.85

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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.