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Finding the Fourth Proportional to 33,782.80, 50,657.20 and 10,406.20

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Solution

The fourth proportional to 33,782.80, 50,657.20 and 10,406.20 is: 15,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.80 : 50,657.20 = 10,406.20 : x
  2. Step 2: Convert to fraction form
    33,782.80/50,657.20 = 10,406.20/x
  3. Step 3: Cross multiply
    33,782.80x = 50,657.20 × 10,406.20
  4. Step 4: Simplify right side
    33,782.80x = 527,148,954.64
  5. Step 5: Solve for x
    x = 527,148,954.64/33,782.80
  6. Step 6: Final answer
    x = 15,604.06

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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.