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Finding the Fourth Proportional to 43,474.56, 65,203.20 and 21,278.40

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Solution

The fourth proportional to 43,474.56, 65,203.20 and 21,278.40 is: 31,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,474.56 : 65,203.20 = 21,278.40 : x
  2. Step 2: Convert to fraction form
    43,474.56/65,203.20 = 21,278.40/x
  3. Step 3: Cross multiply
    43,474.56x = 65,203.20 × 21,278.40
  4. Step 4: Simplify right side
    43,474.56x = 1,387,419,770.88
  5. Step 5: Solve for x
    x = 1,387,419,770.88/43,474.56
  6. Step 6: Final answer
    x = 31,913.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.