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Finding the Fourth Proportional to 50,903, 76,355.94 and 13,967

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Solution

The fourth proportional to 50,903, 76,355.94 and 13,967 is: 20,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,903 : 76,355.94 = 13,967 : x
  2. Step 2: Convert to fraction form
    50,903/76,355.94 = 13,967/x
  3. Step 3: Cross multiply
    50,903x = 76,355.94 × 13,967
  4. Step 4: Simplify right side
    50,903x = 1,066,463,413.98
  5. Step 5: Solve for x
    x = 1,066,463,413.98/50,903
  6. Step 6: Final answer
    x = 20,950.90

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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.