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Finding the Fourth Proportional to 33,913.64, 50,880.33 and 15,189.50

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Solution

The fourth proportional to 33,913.64, 50,880.33 and 15,189.50 is: 22,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913.64 : 50,880.33 = 15,189.50 : x
  2. Step 2: Convert to fraction form
    33,913.64/50,880.33 = 15,189.50/x
  3. Step 3: Cross multiply
    33,913.64x = 50,880.33 × 15,189.50
  4. Step 4: Simplify right side
    33,913.64x = 772,846,518.13
  5. Step 5: Solve for x
    x = 772,846,518.13/33,913.64
  6. Step 6: Final answer
    x = 22,788.67

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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.