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Finding the Fourth Proportional to 31,308.68, 43,206 and 17,161.22

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Solution

The fourth proportional to 31,308.68, 43,206 and 17,161.22 is: 23,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.68 : 43,206 = 17,161.22 : x
  2. Step 2: Convert to fraction form
    31,308.68/43,206 = 17,161.22/x
  3. Step 3: Cross multiply
    31,308.68x = 43,206 × 17,161.22
  4. Step 4: Simplify right side
    31,308.68x = 741,467,671.32
  5. Step 5: Solve for x
    x = 741,467,671.32/31,308.68
  6. Step 6: Final answer
    x = 23,682.50

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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.