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Finding the Fourth Proportional to 27,055, 40,546.86 and 11,453.32

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Solution

The fourth proportional to 27,055, 40,546.86 and 11,453.32 is: 17,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055 : 40,546.86 = 11,453.32 : x
  2. Step 2: Convert to fraction form
    27,055/40,546.86 = 11,453.32/x
  3. Step 3: Cross multiply
    27,055x = 40,546.86 × 11,453.32
  4. Step 4: Simplify right side
    27,055x = 464,396,162.58
  5. Step 5: Solve for x
    x = 464,396,162.58/27,055
  6. Step 6: Final answer
    x = 17,164.89

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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.