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Finding the Fourth Proportional to 76,940.80, 115,389.60 and 24,366.40

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Solution

The fourth proportional to 76,940.80, 115,389.60 and 24,366.40 is: 36,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,940.80 : 115,389.60 = 24,366.40 : x
  2. Step 2: Convert to fraction form
    76,940.80/115,389.60 = 24,366.40/x
  3. Step 3: Cross multiply
    76,940.80x = 115,389.60 × 24,366.40
  4. Step 4: Simplify right side
    76,940.80x = 2,811,629,149.44
  5. Step 5: Solve for x
    x = 2,811,629,149.44/76,940.80
  6. Step 6: Final answer
    x = 36,542.76

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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.