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Finding the Fourth Proportional to 50,782.54, 76,172.99 and 13,846.54

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Solution

The fourth proportional to 50,782.54, 76,172.99 and 13,846.54 is: 20,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.54 : 76,172.99 = 13,846.54 : x
  2. Step 2: Convert to fraction form
    50,782.54/76,172.99 = 13,846.54/x
  3. Step 3: Cross multiply
    50,782.54x = 76,172.99 × 13,846.54
  4. Step 4: Simplify right side
    50,782.54x = 1,054,732,352.95
  5. Step 5: Solve for x
    x = 1,054,732,352.95/50,782.54
  6. Step 6: Final answer
    x = 20,769.59

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1.5x scale

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.