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Finding the Fourth Proportional to 34,611.92, 51,912.28 and 12,424.72

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Solution

The fourth proportional to 34,611.92, 51,912.28 and 12,424.72 is: 18,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.92 : 51,912.28 = 12,424.72 : x
  2. Step 2: Convert to fraction form
    34,611.92/51,912.28 = 12,424.72/x
  3. Step 3: Cross multiply
    34,611.92x = 51,912.28 × 12,424.72
  4. Step 4: Simplify right side
    34,611.92x = 644,995,543.56
  5. Step 5: Solve for x
    x = 644,995,543.56/34,611.92
  6. Step 6: Final answer
    x = 18,635.07

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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.