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Finding the Fourth Proportional to 51,102, 76,653 and 14,166

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Solution

The fourth proportional to 51,102, 76,653 and 14,166 is: 21,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102 : 76,653 = 14,166 : x
  2. Step 2: Convert to fraction form
    51,102/76,653 = 14,166/x
  3. Step 3: Cross multiply
    51,102x = 76,653 × 14,166
  4. Step 4: Simplify right side
    51,102x = 1,085,866,398
  5. Step 5: Solve for x
    x = 1,085,866,398/51,102
  6. Step 6: Final answer
    x = 21,249

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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.