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Finding the Fourth Proportional to 50,612.84, 75,902.90 and 16,869.86

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Solution

The fourth proportional to 50,612.84, 75,902.90 and 16,869.86 is: 25,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,612.84 : 75,902.90 = 16,869.86 : x
  2. Step 2: Convert to fraction form
    50,612.84/75,902.90 = 16,869.86/x
  3. Step 3: Cross multiply
    50,612.84x = 75,902.90 × 16,869.86
  4. Step 4: Simplify right side
    50,612.84x = 1,280,470,832.73
  5. Step 5: Solve for x
    x = 1,280,470,832.73/50,612.84
  6. Step 6: Final answer
    x = 25,299.33

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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.