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Finding the Fourth Proportional to 51,494.33, 77,242.85 and 16,433.96

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Solution

The fourth proportional to 51,494.33, 77,242.85 and 16,433.96 is: 24,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.33 : 77,242.85 = 16,433.96 : x
  2. Step 2: Convert to fraction form
    51,494.33/77,242.85 = 16,433.96/x
  3. Step 3: Cross multiply
    51,494.33x = 77,242.85 × 16,433.96
  4. Step 4: Simplify right side
    51,494.33x = 1,269,405,825.02
  5. Step 5: Solve for x
    x = 1,269,405,825.02/51,494.33
  6. Step 6: Final answer
    x = 24,651.37

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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.