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Finding the Fourth Proportional to 100,409.37, 150,638.94 and 30,288.57

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Solution

The fourth proportional to 100,409.37, 150,638.94 and 30,288.57 is: 45,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.37 : 150,638.94 = 30,288.57 : x
  2. Step 2: Convert to fraction form
    100,409.37/150,638.94 = 30,288.57/x
  3. Step 3: Cross multiply
    100,409.37x = 150,638.94 × 30,288.57
  4. Step 4: Simplify right side
    100,409.37x = 4,562,638,078.92
  5. Step 5: Solve for x
    x = 4,562,638,078.92/100,409.37
  6. Step 6: Final answer
    x = 45,440.36

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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.