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Finding the Fourth Proportional to 77,571.50, 116,409.18 and 33,209.10

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Solution

The fourth proportional to 77,571.50, 116,409.18 and 33,209.10 is: 49,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,571.50 : 116,409.18 = 33,209.10 : x
  2. Step 2: Convert to fraction form
    77,571.50/116,409.18 = 33,209.10/x
  3. Step 3: Cross multiply
    77,571.50x = 116,409.18 × 33,209.10
  4. Step 4: Simplify right side
    77,571.50x = 3,865,844,099.54
  5. Step 5: Solve for x
    x = 3,865,844,099.54/77,571.50
  6. Step 6: Final answer
    x = 49,835.88

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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.