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Finding the Fourth Proportional to 33,836.76, 50,759.96 and 10,465

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Solution

The fourth proportional to 33,836.76, 50,759.96 and 10,465 is: 15,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836.76 : 50,759.96 = 10,465 : x
  2. Step 2: Convert to fraction form
    33,836.76/50,759.96 = 10,465/x
  3. Step 3: Cross multiply
    33,836.76x = 50,759.96 × 10,465
  4. Step 4: Simplify right side
    33,836.76x = 531,202,981.40
  5. Step 5: Solve for x
    x = 531,202,981.40/33,836.76
  6. Step 6: Final answer
    x = 15,698.99

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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.