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Finding the Fourth Proportional to 50,835.66, 76,253.97 and 13,401.09

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Solution

The fourth proportional to 50,835.66, 76,253.97 and 13,401.09 is: 20,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,835.66 : 76,253.97 = 13,401.09 : x
  2. Step 2: Convert to fraction form
    50,835.66/76,253.97 = 13,401.09/x
  3. Step 3: Cross multiply
    50,835.66x = 76,253.97 × 13,401.09
  4. Step 4: Simplify right side
    50,835.66x = 1,021,886,314.83
  5. Step 5: Solve for x
    x = 1,021,886,314.83/50,835.66
  6. Step 6: Final answer
    x = 20,101.76

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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.