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Finding the Fourth Proportional to 50,834.90, 76,252.86 and 13,400.34

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Solution

The fourth proportional to 50,834.90, 76,252.86 and 13,400.34 is: 20,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834.90 : 76,252.86 = 13,400.34 : x
  2. Step 2: Convert to fraction form
    50,834.90/76,252.86 = 13,400.34/x
  3. Step 3: Cross multiply
    50,834.90x = 76,252.86 × 13,400.34
  4. Step 4: Simplify right side
    50,834.90x = 1,021,814,249.97
  5. Step 5: Solve for x
    x = 1,021,814,249.97/50,834.90
  6. Step 6: Final answer
    x = 20,100.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.