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Finding the Fourth Proportional to 57,751.80, 86,627.70 and 32,782.20

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Solution

The fourth proportional to 57,751.80, 86,627.70 and 32,782.20 is: 49,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,751.80 : 86,627.70 = 32,782.20 : x
  2. Step 2: Convert to fraction form
    57,751.80/86,627.70 = 32,782.20/x
  3. Step 3: Cross multiply
    57,751.80x = 86,627.70 × 32,782.20
  4. Step 4: Simplify right side
    57,751.80x = 2,839,846,586.94
  5. Step 5: Solve for x
    x = 2,839,846,586.94/57,751.80
  6. Step 6: Final answer
    x = 49,173.30

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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.