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Finding the Fourth Proportional to 27,949.12, 41,923.77 and 17,539

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Solution

The fourth proportional to 27,949.12, 41,923.77 and 17,539 is: 26,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,949.12 : 41,923.77 = 17,539 : x
  2. Step 2: Convert to fraction form
    27,949.12/41,923.77 = 17,539/x
  3. Step 3: Cross multiply
    27,949.12x = 41,923.77 × 17,539
  4. Step 4: Simplify right side
    27,949.12x = 735,301,002.03
  5. Step 5: Solve for x
    x = 735,301,002.03/27,949.12
  6. Step 6: Final answer
    x = 26,308.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.