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Finding the Fourth Proportional to 27,617, 41,321.82 and 17,179.88

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Solution

The fourth proportional to 27,617, 41,321.82 and 17,179.88 is: 25,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617 : 41,321.82 = 17,179.88 : x
  2. Step 2: Convert to fraction form
    27,617/41,321.82 = 17,179.88/x
  3. Step 3: Cross multiply
    27,617x = 41,321.82 × 17,179.88
  4. Step 4: Simplify right side
    27,617x = 709,903,908.98
  5. Step 5: Solve for x
    x = 709,903,908.98/27,617
  6. Step 6: Final answer
    x = 25,705.32

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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.