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Finding the Fourth Proportional to 51,167, 76,754.82 and 14,231

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Solution

The fourth proportional to 51,167, 76,754.82 and 14,231 is: 21,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,167 : 76,754.82 = 14,231 : x
  2. Step 2: Convert to fraction form
    51,167/76,754.82 = 14,231/x
  3. Step 3: Cross multiply
    51,167x = 76,754.82 × 14,231
  4. Step 4: Simplify right side
    51,167x = 1,092,297,843.42
  5. Step 5: Solve for x
    x = 1,092,297,843.42/51,167
  6. Step 6: Final answer
    x = 21,347.70

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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.