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Finding the Fourth Proportional to 50,847.44, 76,262.49 and 13,407.89

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Solution

The fourth proportional to 50,847.44, 76,262.49 and 13,407.89 is: 20,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,847.44 : 76,262.49 = 13,407.89 : x
  2. Step 2: Convert to fraction form
    50,847.44/76,262.49 = 13,407.89/x
  3. Step 3: Cross multiply
    50,847.44x = 76,262.49 × 13,407.89
  4. Step 4: Simplify right side
    50,847.44x = 1,022,518,695.73
  5. Step 5: Solve for x
    x = 1,022,518,695.73/50,847.44
  6. Step 6: Final answer
    x = 20,109.54

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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.