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Finding the Fourth Proportional to 27,245.72, 40,884.37 and 11,449.50

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Solution

The fourth proportional to 27,245.72, 40,884.37 and 11,449.50 is: 17,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.72 : 40,884.37 = 11,449.50 : x
  2. Step 2: Convert to fraction form
    27,245.72/40,884.37 = 11,449.50/x
  3. Step 3: Cross multiply
    27,245.72x = 40,884.37 × 11,449.50
  4. Step 4: Simplify right side
    27,245.72x = 468,105,594.32
  5. Step 5: Solve for x
    x = 468,105,594.32/27,245.72
  6. Step 6: Final answer
    x = 17,180.89

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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.