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Finding the Fourth Proportional to 43,764.80, 65,631 and 34,423

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Solution

The fourth proportional to 43,764.80, 65,631 and 34,423 is: 51,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,764.80 : 65,631 = 34,423 : x
  2. Step 2: Convert to fraction form
    43,764.80/65,631 = 34,423/x
  3. Step 3: Cross multiply
    43,764.80x = 65,631 × 34,423
  4. Step 4: Simplify right side
    43,764.80x = 2,259,215,913
  5. Step 5: Solve for x
    x = 2,259,215,913/43,764.80
  6. Step 6: Final answer
    x = 51,621.76

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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.