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Finding the Fourth Proportional to 33,738.12, 50,598.07 and 12,677.31

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Solution

The fourth proportional to 33,738.12, 50,598.07 and 12,677.31 is: 19,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,738.12 : 50,598.07 = 12,677.31 : x
  2. Step 2: Convert to fraction form
    33,738.12/50,598.07 = 12,677.31/x
  3. Step 3: Cross multiply
    33,738.12x = 50,598.07 × 12,677.31
  4. Step 4: Simplify right side
    33,738.12x = 641,447,387.10
  5. Step 5: Solve for x
    x = 641,447,387.10/33,738.12
  6. Step 6: Final answer
    x = 19,012.54

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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.