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Finding the Fourth Proportional to 33,701.50, 50,558.19 and 11,509.67

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Solution

The fourth proportional to 33,701.50, 50,558.19 and 11,509.67 is: 17,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,701.50 : 50,558.19 = 11,509.67 : x
  2. Step 2: Convert to fraction form
    33,701.50/50,558.19 = 11,509.67/x
  3. Step 3: Cross multiply
    33,701.50x = 50,558.19 × 11,509.67
  4. Step 4: Simplify right side
    33,701.50x = 581,908,025.15
  5. Step 5: Solve for x
    x = 581,908,025.15/33,701.50
  6. Step 6: Final answer
    x = 17,266.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.