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Finding the Fourth Proportional to 31,164.57, 43,007.02 and 17,017.31

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Solution

The fourth proportional to 31,164.57, 43,007.02 and 17,017.31 is: 23,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.57 : 43,007.02 = 17,017.31 : x
  2. Step 2: Convert to fraction form
    31,164.57/43,007.02 = 17,017.31/x
  3. Step 3: Cross multiply
    31,164.57x = 43,007.02 × 17,017.31
  4. Step 4: Simplify right side
    31,164.57x = 731,863,856.49
  5. Step 5: Solve for x
    x = 731,863,856.49/31,164.57
  6. Step 6: Final answer
    x = 23,483.84

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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.