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Finding the Fourth Proportional to 50,843, 76,269.78 and 13,907

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Solution

The fourth proportional to 50,843, 76,269.78 and 13,907 is: 20,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,843 : 76,269.78 = 13,907 : x
  2. Step 2: Convert to fraction form
    50,843/76,269.78 = 13,907/x
  3. Step 3: Cross multiply
    50,843x = 76,269.78 × 13,907
  4. Step 4: Simplify right side
    50,843x = 1,060,683,830.46
  5. Step 5: Solve for x
    x = 1,060,683,830.46/50,843
  6. Step 6: Final answer
    x = 20,861.94

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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.