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Finding the Fourth Proportional to 72,517.64, 100,080.38 and 40,255.30

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Solution

The fourth proportional to 72,517.64, 100,080.38 and 40,255.30 is: 55,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,517.64 : 100,080.38 = 40,255.30 : x
  2. Step 2: Convert to fraction form
    72,517.64/100,080.38 = 40,255.30/x
  3. Step 3: Cross multiply
    72,517.64x = 100,080.38 × 40,255.30
  4. Step 4: Simplify right side
    72,517.64x = 4,028,765,721.01
  5. Step 5: Solve for x
    x = 4,028,765,721.01/72,517.64
  6. Step 6: Final answer
    x = 55,555.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.