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Finding the Fourth Proportional to 31,008.06, 46,512.09 and 7,634.52

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Solution

The fourth proportional to 31,008.06, 46,512.09 and 7,634.52 is: 11,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.06 : 46,512.09 = 7,634.52 : x
  2. Step 2: Convert to fraction form
    31,008.06/46,512.09 = 7,634.52/x
  3. Step 3: Cross multiply
    31,008.06x = 46,512.09 × 7,634.52
  4. Step 4: Simplify right side
    31,008.06x = 355,097,481.35
  5. Step 5: Solve for x
    x = 355,097,481.35/31,008.06
  6. Step 6: Final answer
    x = 11,451.78

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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.