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Finding the Fourth Proportional to 57,831.27, 86,687.82 and 32,818.50

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Solution

The fourth proportional to 57,831.27, 86,687.82 and 32,818.50 is: 49,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,831.27 : 86,687.82 = 32,818.50 : x
  2. Step 2: Convert to fraction form
    57,831.27/86,687.82 = 32,818.50/x
  3. Step 3: Cross multiply
    57,831.27x = 86,687.82 × 32,818.50
  4. Step 4: Simplify right side
    57,831.27x = 2,844,964,220.67
  5. Step 5: Solve for x
    x = 2,844,964,220.67/57,831.27
  6. Step 6: Final answer
    x = 49,194.22

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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.