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Finding the Fourth Proportional to 31,456.32, 43,410.63 and 17,309.16

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Solution

The fourth proportional to 31,456.32, 43,410.63 and 17,309.16 is: 23,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.32 : 43,410.63 = 17,309.16 : x
  2. Step 2: Convert to fraction form
    31,456.32/43,410.63 = 17,309.16/x
  3. Step 3: Cross multiply
    31,456.32x = 43,410.63 × 17,309.16
  4. Step 4: Simplify right side
    31,456.32x = 751,401,540.37
  5. Step 5: Solve for x
    x = 751,401,540.37/31,456.32
  6. Step 6: Final answer
    x = 23,887.14

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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.