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Finding the Fourth Proportional to 31,040.75, 46,553.41 and 8,854.32

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Solution

The fourth proportional to 31,040.75, 46,553.41 and 8,854.32 is: 13,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.75 : 46,553.41 = 8,854.32 : x
  2. Step 2: Convert to fraction form
    31,040.75/46,553.41 = 8,854.32/x
  3. Step 3: Cross multiply
    31,040.75x = 46,553.41 × 8,854.32
  4. Step 4: Simplify right side
    31,040.75x = 412,198,789.23
  5. Step 5: Solve for x
    x = 412,198,789.23/31,040.75
  6. Step 6: Final answer
    x = 13,279.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.