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Finding the Fourth Proportional to 82,771, 124,175.96 and 27,367

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Solution

The fourth proportional to 82,771, 124,175.96 and 27,367 is: 41,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771 : 124,175.96 = 27,367 : x
  2. Step 2: Convert to fraction form
    82,771/124,175.96 = 27,367/x
  3. Step 3: Cross multiply
    82,771x = 124,175.96 × 27,367
  4. Step 4: Simplify right side
    82,771x = 3,398,323,497.32
  5. Step 5: Solve for x
    x = 3,398,323,497.32/82,771
  6. Step 6: Final answer
    x = 41,056.93

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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.