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Finding the Fourth Proportional to 33,876.75, 50,814.67 and 10,503.19

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Solution

The fourth proportional to 33,876.75, 50,814.67 and 10,503.19 is: 15,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.75 : 50,814.67 = 10,503.19 : x
  2. Step 2: Convert to fraction form
    33,876.75/50,814.67 = 10,503.19/x
  3. Step 3: Cross multiply
    33,876.75x = 50,814.67 × 10,503.19
  4. Step 4: Simplify right side
    33,876.75x = 533,716,133.80
  5. Step 5: Solve for x
    x = 533,716,133.80/33,876.75
  6. Step 6: Final answer
    x = 15,754.64

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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.