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Finding the Fourth Proportional to 31,245.54, 43,105.14 and 18,663

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Solution

The fourth proportional to 31,245.54, 43,105.14 and 18,663 is: 25,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.54 : 43,105.14 = 18,663 : x
  2. Step 2: Convert to fraction form
    31,245.54/43,105.14 = 18,663/x
  3. Step 3: Cross multiply
    31,245.54x = 43,105.14 × 18,663
  4. Step 4: Simplify right side
    31,245.54x = 804,471,227.82
  5. Step 5: Solve for x
    x = 804,471,227.82/31,245.54
  6. Step 6: Final answer
    x = 25,746.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.