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Finding the Fourth Proportional to 31,283.82, 43,171.38 and 17,137.17

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Solution

The fourth proportional to 31,283.82, 43,171.38 and 17,137.17 is: 23,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.82 : 43,171.38 = 17,137.17 : x
  2. Step 2: Convert to fraction form
    31,283.82/43,171.38 = 17,137.17/x
  3. Step 3: Cross multiply
    31,283.82x = 43,171.38 × 17,137.17
  4. Step 4: Simplify right side
    31,283.82x = 739,835,278.19
  5. Step 5: Solve for x
    x = 739,835,278.19/31,283.82
  6. Step 6: Final answer
    x = 23,649.13

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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.