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Finding the Fourth Proportional to 31,284, 43,171.92 and 18,036

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Solution

The fourth proportional to 31,284, 43,171.92 and 18,036 is: 24,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284 : 43,171.92 = 18,036 : x
  2. Step 2: Convert to fraction form
    31,284/43,171.92 = 18,036/x
  3. Step 3: Cross multiply
    31,284x = 43,171.92 × 18,036
  4. Step 4: Simplify right side
    31,284x = 778,648,749.12
  5. Step 5: Solve for x
    x = 778,648,749.12/31,284
  6. Step 6: Final answer
    x = 24,889.68

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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.