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Finding the Fourth Proportional to 57,574.62, 86,324.83 and 24,285.78

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Solution

The fourth proportional to 57,574.62, 86,324.83 and 24,285.78 is: 36,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,574.62 : 86,324.83 = 24,285.78 : x
  2. Step 2: Convert to fraction form
    57,574.62/86,324.83 = 24,285.78/x
  3. Step 3: Cross multiply
    57,574.62x = 86,324.83 × 24,285.78
  4. Step 4: Simplify right side
    57,574.62x = 2,096,465,829.92
  5. Step 5: Solve for x
    x = 2,096,465,829.92/57,574.62
  6. Step 6: Final answer
    x = 36,413.02

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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.