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Finding the Fourth Proportional to 34,502.96, 51,738.06 and 15,777.44

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Solution

The fourth proportional to 34,502.96, 51,738.06 and 15,777.44 is: 23,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.96 : 51,738.06 = 15,777.44 : x
  2. Step 2: Convert to fraction form
    34,502.96/51,738.06 = 15,777.44/x
  3. Step 3: Cross multiply
    34,502.96x = 51,738.06 × 15,777.44
  4. Step 4: Simplify right side
    34,502.96x = 816,294,137.37
  5. Step 5: Solve for x
    x = 816,294,137.37/34,502.96
  6. Step 6: Final answer
    x = 23,658.67

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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.