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Finding the Fourth Proportional to 40,049.96, 55,267.38 and 23,920

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Solution

The fourth proportional to 40,049.96, 55,267.38 and 23,920 is: 33,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,049.96 : 55,267.38 = 23,920 : x
  2. Step 2: Convert to fraction form
    40,049.96/55,267.38 = 23,920/x
  3. Step 3: Cross multiply
    40,049.96x = 55,267.38 × 23,920
  4. Step 4: Simplify right side
    40,049.96x = 1,321,995,729.60
  5. Step 5: Solve for x
    x = 1,321,995,729.60/40,049.96
  6. Step 6: Final answer
    x = 33,008.67

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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.