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Finding the Fourth Proportional to 55,223.80, 82,738.10 and 53,396.60

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Solution

The fourth proportional to 55,223.80, 82,738.10 and 53,396.60 is: 80,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.80 : 82,738.10 = 53,396.60 : x
  2. Step 2: Convert to fraction form
    55,223.80/82,738.10 = 53,396.60/x
  3. Step 3: Cross multiply
    55,223.80x = 82,738.10 × 53,396.60
  4. Step 4: Simplify right side
    55,223.80x = 4,417,933,230.46
  5. Step 5: Solve for x
    x = 4,417,933,230.46/55,223.80
  6. Step 6: Final answer
    x = 80,000.53

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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.