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Finding the Fourth Proportional to 31,272.20, 46,910.76 and 9,085.96

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Solution

The fourth proportional to 31,272.20, 46,910.76 and 9,085.96 is: 13,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.20 : 46,910.76 = 9,085.96 : x
  2. Step 2: Convert to fraction form
    31,272.20/46,910.76 = 9,085.96/x
  3. Step 3: Cross multiply
    31,272.20x = 46,910.76 × 9,085.96
  4. Step 4: Simplify right side
    31,272.20x = 426,229,288.93
  5. Step 5: Solve for x
    x = 426,229,288.93/31,272.20
  6. Step 6: Final answer
    x = 13,629.65

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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.