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Finding the Fourth Proportional to 31,846.23, 47,769.42 and 8,472.67

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Solution

The fourth proportional to 31,846.23, 47,769.42 and 8,472.67 is: 12,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.23 : 47,769.42 = 8,472.67 : x
  2. Step 2: Convert to fraction form
    31,846.23/47,769.42 = 8,472.67/x
  3. Step 3: Cross multiply
    31,846.23x = 47,769.42 × 8,472.67
  4. Step 4: Simplify right side
    31,846.23x = 404,734,444.10
  5. Step 5: Solve for x
    x = 404,734,444.10/31,846.23
  6. Step 6: Final answer
    x = 12,709.02

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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.