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Finding the Fourth Proportional to 30,161.44, 41,605.68 and 18,964

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Solution

The fourth proportional to 30,161.44, 41,605.68 and 18,964 is: 26,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,161.44 : 41,605.68 = 18,964 : x
  2. Step 2: Convert to fraction form
    30,161.44/41,605.68 = 18,964/x
  3. Step 3: Cross multiply
    30,161.44x = 41,605.68 × 18,964
  4. Step 4: Simplify right side
    30,161.44x = 789,010,115.52
  5. Step 5: Solve for x
    x = 789,010,115.52/30,161.44
  6. Step 6: Final answer
    x = 26,159.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.