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Finding the Fourth Proportional to 33,157.55, 49,736.33 and 31,717.78

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Solution

The fourth proportional to 33,157.55, 49,736.33 and 31,717.78 is: 47,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.55 : 49,736.33 = 31,717.78 : x
  2. Step 2: Convert to fraction form
    33,157.55/49,736.33 = 31,717.78/x
  3. Step 3: Cross multiply
    33,157.55x = 49,736.33 × 31,717.78
  4. Step 4: Simplify right side
    33,157.55x = 1,577,525,972.95
  5. Step 5: Solve for x
    x = 1,577,525,972.95/33,157.55
  6. Step 6: Final answer
    x = 47,576.67

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1.5x scale

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.