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Finding the Fourth Proportional to 57,893.86, 86,838.14 and 24,145.94

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Solution

The fourth proportional to 57,893.86, 86,838.14 and 24,145.94 is: 36,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,893.86 : 86,838.14 = 24,145.94 : x
  2. Step 2: Convert to fraction form
    57,893.86/86,838.14 = 24,145.94/x
  3. Step 3: Cross multiply
    57,893.86x = 86,838.14 × 24,145.94
  4. Step 4: Simplify right side
    57,893.86x = 2,096,788,518.15
  5. Step 5: Solve for x
    x = 2,096,788,518.15/57,893.86
  6. Step 6: Final answer
    x = 36,217.80

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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.