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Finding the Fourth Proportional to 31,511.57, 43,486.77 and 17,364.42

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Solution

The fourth proportional to 31,511.57, 43,486.77 and 17,364.42 is: 23,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.57 : 43,486.77 = 17,364.42 : x
  2. Step 2: Convert to fraction form
    31,511.57/43,486.77 = 17,364.42/x
  3. Step 3: Cross multiply
    31,511.57x = 43,486.77 × 17,364.42
  4. Step 4: Simplify right side
    31,511.57x = 755,122,538.72
  5. Step 5: Solve for x
    x = 755,122,538.72/31,511.57
  6. Step 6: Final answer
    x = 23,963.34

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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.