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Finding the Fourth Proportional to 31,460.82, 43,416.24 and 17,313.96

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Solution

The fourth proportional to 31,460.82, 43,416.24 and 17,313.96 is: 23,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.82 : 43,416.24 = 17,313.96 : x
  2. Step 2: Convert to fraction form
    31,460.82/43,416.24 = 17,313.96/x
  3. Step 3: Cross multiply
    31,460.82x = 43,416.24 × 17,313.96
  4. Step 4: Simplify right side
    31,460.82x = 751,707,042.71
  5. Step 5: Solve for x
    x = 751,707,042.71/31,460.82
  6. Step 6: Final answer
    x = 23,893.43

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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.