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Finding the Fourth Proportional to 31,447.94, 43,398.97 and 17,108.66

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Solution

The fourth proportional to 31,447.94, 43,398.97 and 17,108.66 is: 23,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.94 : 43,398.97 = 17,108.66 : x
  2. Step 2: Convert to fraction form
    31,447.94/43,398.97 = 17,108.66/x
  3. Step 3: Cross multiply
    31,447.94x = 43,398.97 × 17,108.66
  4. Step 4: Simplify right side
    31,447.94x = 742,498,222.08
  5. Step 5: Solve for x
    x = 742,498,222.08/31,447.94
  6. Step 6: Final answer
    x = 23,610.39

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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.