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Finding the Fourth Proportional to 50,097, 75,150.48 and 18,515.34

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Solution

The fourth proportional to 50,097, 75,150.48 and 18,515.34 is: 27,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,097 : 75,150.48 = 18,515.34 : x
  2. Step 2: Convert to fraction form
    50,097/75,150.48 = 18,515.34/x
  3. Step 3: Cross multiply
    50,097x = 75,150.48 × 18,515.34
  4. Step 4: Simplify right side
    50,097x = 1,391,436,688.36
  5. Step 5: Solve for x
    x = 1,391,436,688.36/50,097
  6. Step 6: Final answer
    x = 27,774.85

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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.