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Finding the Fourth Proportional to 31,309.69, 43,207.47 and 17,162.56

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Solution

The fourth proportional to 31,309.69, 43,207.47 and 17,162.56 is: 23,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.69 : 43,207.47 = 17,162.56 : x
  2. Step 2: Convert to fraction form
    31,309.69/43,207.47 = 17,162.56/x
  3. Step 3: Cross multiply
    31,309.69x = 43,207.47 × 17,162.56
  4. Step 4: Simplify right side
    31,309.69x = 741,550,796.32
  5. Step 5: Solve for x
    x = 741,550,796.32/31,309.69
  6. Step 6: Final answer
    x = 23,684.39

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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.