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Finding the Fourth Proportional to 51,104, 76,656 and 14,168

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Solution

The fourth proportional to 51,104, 76,656 and 14,168 is: 21,252

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104 : 76,656 = 14,168 : x
  2. Step 2: Convert to fraction form
    51,104/76,656 = 14,168/x
  3. Step 3: Cross multiply
    51,104x = 76,656 × 14,168
  4. Step 4: Simplify right side
    51,104x = 1,086,062,208
  5. Step 5: Solve for x
    x = 1,086,062,208/51,104
  6. Step 6: Final answer
    x = 21,252

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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.