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Finding the Fourth Proportional to 31,262.96, 46,879.32 and 11,550.80

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Solution

The fourth proportional to 31,262.96, 46,879.32 and 11,550.80 is: 17,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.96 : 46,879.32 = 11,550.80 : x
  2. Step 2: Convert to fraction form
    31,262.96/46,879.32 = 11,550.80/x
  3. Step 3: Cross multiply
    31,262.96x = 46,879.32 × 11,550.80
  4. Step 4: Simplify right side
    31,262.96x = 541,493,649.46
  5. Step 5: Solve for x
    x = 541,493,649.46/31,262.96
  6. Step 6: Final answer
    x = 17,320.61

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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.