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Finding the Fourth Proportional to 33,998.16, 50,923.26 and 16,431

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Solution

The fourth proportional to 33,998.16, 50,923.26 and 16,431 is: 24,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.16 : 50,923.26 = 16,431 : x
  2. Step 2: Convert to fraction form
    33,998.16/50,923.26 = 16,431/x
  3. Step 3: Cross multiply
    33,998.16x = 50,923.26 × 16,431
  4. Step 4: Simplify right side
    33,998.16x = 836,720,085.06
  5. Step 5: Solve for x
    x = 836,720,085.06/33,998.16
  6. Step 6: Final answer
    x = 24,610.75

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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.