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Finding the Fourth Proportional to 34,176, 51,264 and 12,288

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Solution

The fourth proportional to 34,176, 51,264 and 12,288 is: 18,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176 : 51,264 = 12,288 : x
  2. Step 2: Convert to fraction form
    34,176/51,264 = 12,288/x
  3. Step 3: Cross multiply
    34,176x = 51,264 × 12,288
  4. Step 4: Simplify right side
    34,176x = 629,932,032
  5. Step 5: Solve for x
    x = 629,932,032/34,176
  6. Step 6: Final answer
    x = 18,432

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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.