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Finding the Fourth Proportional to 31,272.20, 46,910.74 and 9,085.94

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Solution

The fourth proportional to 31,272.20, 46,910.74 and 9,085.94 is: 13,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.20 : 46,910.74 = 9,085.94 : x
  2. Step 2: Convert to fraction form
    31,272.20/46,910.74 = 9,085.94/x
  3. Step 3: Cross multiply
    31,272.20x = 46,910.74 × 9,085.94
  4. Step 4: Simplify right side
    31,272.20x = 426,228,169.00
  5. Step 5: Solve for x
    x = 426,228,169.00/31,272.20
  6. Step 6: Final answer
    x = 13,629.62

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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.