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Finding the Fourth Proportional to 30,633.69, 45,950.40 and 10,912.98

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Solution

The fourth proportional to 30,633.69, 45,950.40 and 10,912.98 is: 16,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.69 : 45,950.40 = 10,912.98 : x
  2. Step 2: Convert to fraction form
    30,633.69/45,950.40 = 10,912.98/x
  3. Step 3: Cross multiply
    30,633.69x = 45,950.40 × 10,912.98
  4. Step 4: Simplify right side
    30,633.69x = 501,455,796.19
  5. Step 5: Solve for x
    x = 501,455,796.19/30,633.69
  6. Step 6: Final answer
    x = 16,369.42

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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.