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Finding the Fourth Proportional to 50,837.84, 76,250.24 and 13,400.85

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Solution

The fourth proportional to 50,837.84, 76,250.24 and 13,400.85 is: 20,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,837.84 : 76,250.24 = 13,400.85 : x
  2. Step 2: Convert to fraction form
    50,837.84/76,250.24 = 13,400.85/x
  3. Step 3: Cross multiply
    50,837.84x = 76,250.24 × 13,400.85
  4. Step 4: Simplify right side
    50,837.84x = 1,021,818,028.70
  5. Step 5: Solve for x
    x = 1,021,818,028.70/50,837.84
  6. Step 6: Final answer
    x = 20,099.56

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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.