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Finding the Fourth Proportional to 27,999, 41,998.50 and 11,583

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Solution

The fourth proportional to 27,999, 41,998.50 and 11,583 is: 17,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 41,998.50 = 11,583 : x
  2. Step 2: Convert to fraction form
    27,999/41,998.50 = 11,583/x
  3. Step 3: Cross multiply
    27,999x = 41,998.50 × 11,583
  4. Step 4: Simplify right side
    27,999x = 486,468,625.50
  5. Step 5: Solve for x
    x = 486,468,625.50/27,999
  6. Step 6: Final answer
    x = 17,374.50

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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.