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Finding the Fourth Proportional to 31,456.44, 43,410.18 and 17,309.58

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Solution

The fourth proportional to 31,456.44, 43,410.18 and 17,309.58 is: 23,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.44 : 43,410.18 = 17,309.58 : x
  2. Step 2: Convert to fraction form
    31,456.44/43,410.18 = 17,309.58/x
  3. Step 3: Cross multiply
    31,456.44x = 43,410.18 × 17,309.58
  4. Step 4: Simplify right side
    31,456.44x = 751,411,983.52
  5. Step 5: Solve for x
    x = 751,411,983.52/31,456.44
  6. Step 6: Final answer
    x = 23,887.38

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Why These Related Problems?

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