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Finding the Fourth Proportional to 31,326.26, 46,992.35 and 11,340.78

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Solution

The fourth proportional to 31,326.26, 46,992.35 and 11,340.78 is: 17,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326.26 : 46,992.35 = 11,340.78 : x
  2. Step 2: Convert to fraction form
    31,326.26/46,992.35 = 11,340.78/x
  3. Step 3: Cross multiply
    31,326.26x = 46,992.35 × 11,340.78
  4. Step 4: Simplify right side
    31,326.26x = 532,929,846.33
  5. Step 5: Solve for x
    x = 532,929,846.33/31,326.26
  6. Step 6: Final answer
    x = 17,012.24

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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.