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Finding the Fourth Proportional to 75,874.96, 113,830.90 and 25,273.86

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Solution

The fourth proportional to 75,874.96, 113,830.90 and 25,273.86 is: 37,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.96 : 113,830.90 = 25,273.86 : x
  2. Step 2: Convert to fraction form
    75,874.96/113,830.90 = 25,273.86/x
  3. Step 3: Cross multiply
    75,874.96x = 113,830.90 × 25,273.86
  4. Step 4: Simplify right side
    75,874.96x = 2,876,946,230.27
  5. Step 5: Solve for x
    x = 2,876,946,230.27/75,874.96
  6. Step 6: Final answer
    x = 37,916.94

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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.