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Finding the Fourth Proportional to 57,891.86, 86,835.14 and 24,143.94

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Solution

The fourth proportional to 57,891.86, 86,835.14 and 24,143.94 is: 36,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,891.86 : 86,835.14 = 24,143.94 : x
  2. Step 2: Convert to fraction form
    57,891.86/86,835.14 = 24,143.94/x
  3. Step 3: Cross multiply
    57,891.86x = 86,835.14 × 24,143.94
  4. Step 4: Simplify right side
    57,891.86x = 2,096,542,410.05
  5. Step 5: Solve for x
    x = 2,096,542,410.05/57,891.86
  6. Step 6: Final answer
    x = 36,214.80

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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.