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Finding the Fourth Proportional to 49,689, 68,572.26 and 27,333

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Solution

The fourth proportional to 49,689, 68,572.26 and 27,333 is: 37,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,689 : 68,572.26 = 27,333 : x
  2. Step 2: Convert to fraction form
    49,689/68,572.26 = 27,333/x
  3. Step 3: Cross multiply
    49,689x = 68,572.26 × 27,333
  4. Step 4: Simplify right side
    49,689x = 1,874,285,582.58
  5. Step 5: Solve for x
    x = 1,874,285,582.58/49,689
  6. Step 6: Final answer
    x = 37,720.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.