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Finding the Fourth Proportional to 33,882.90, 50,816.51 and 12,825.38

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Solution

The fourth proportional to 33,882.90, 50,816.51 and 12,825.38 is: 19,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.90 : 50,816.51 = 12,825.38 : x
  2. Step 2: Convert to fraction form
    33,882.90/50,816.51 = 12,825.38/x
  3. Step 3: Cross multiply
    33,882.90x = 50,816.51 × 12,825.38
  4. Step 4: Simplify right side
    33,882.90x = 651,741,051.02
  5. Step 5: Solve for x
    x = 651,741,051.02/33,882.90
  6. Step 6: Final answer
    x = 19,235.10

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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.