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Finding the Fourth Proportional to 50,830.14, 76,245.21 and 13,894.14

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Solution

The fourth proportional to 50,830.14, 76,245.21 and 13,894.14 is: 20,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830.14 : 76,245.21 = 13,894.14 : x
  2. Step 2: Convert to fraction form
    50,830.14/76,245.21 = 13,894.14/x
  3. Step 3: Cross multiply
    50,830.14x = 76,245.21 × 13,894.14
  4. Step 4: Simplify right side
    50,830.14x = 1,059,361,622.07
  5. Step 5: Solve for x
    x = 1,059,361,622.07/50,830.14
  6. Step 6: Final answer
    x = 20,841.21

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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.