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Finding the Fourth Proportional to 33,536.84, 50,315.78 and 13,824.68

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Solution

The fourth proportional to 33,536.84, 50,315.78 and 13,824.68 is: 20,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536.84 : 50,315.78 = 13,824.68 : x
  2. Step 2: Convert to fraction form
    33,536.84/50,315.78 = 13,824.68/x
  3. Step 3: Cross multiply
    33,536.84x = 50,315.78 × 13,824.68
  4. Step 4: Simplify right side
    33,536.84x = 695,599,340.43
  5. Step 5: Solve for x
    x = 695,599,340.43/33,536.84
  6. Step 6: Final answer
    x = 20,741.35

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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.