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Finding the Fourth Proportional to 30,163.80, 45,245.72 and 10,431.60

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Solution

The fourth proportional to 30,163.80, 45,245.72 and 10,431.60 is: 15,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.80 : 45,245.72 = 10,431.60 : x
  2. Step 2: Convert to fraction form
    30,163.80/45,245.72 = 10,431.60/x
  3. Step 3: Cross multiply
    30,163.80x = 45,245.72 × 10,431.60
  4. Step 4: Simplify right side
    30,163.80x = 471,985,252.75
  5. Step 5: Solve for x
    x = 471,985,252.75/30,163.80
  6. Step 6: Final answer
    x = 15,647.41

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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.