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Finding the Fourth Proportional to 32,550.98, 48,833.74 and 13,831.61

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Solution

The fourth proportional to 32,550.98, 48,833.74 and 13,831.61 is: 20,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550.98 : 48,833.74 = 13,831.61 : x
  2. Step 2: Convert to fraction form
    32,550.98/48,833.74 = 13,831.61/x
  3. Step 3: Cross multiply
    32,550.98x = 48,833.74 × 13,831.61
  4. Step 4: Simplify right side
    32,550.98x = 675,449,211.94
  5. Step 5: Solve for x
    x = 675,449,211.94/32,550.98
  6. Step 6: Final answer
    x = 20,750.50

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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.