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Finding the Fourth Proportional to 66,757.80, 100,136.70 and 31,765.80

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Solution

The fourth proportional to 66,757.80, 100,136.70 and 31,765.80 is: 47,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,757.80 : 100,136.70 = 31,765.80 : x
  2. Step 2: Convert to fraction form
    66,757.80/100,136.70 = 31,765.80/x
  3. Step 3: Cross multiply
    66,757.80x = 100,136.70 × 31,765.80
  4. Step 4: Simplify right side
    66,757.80x = 3,180,922,384.86
  5. Step 5: Solve for x
    x = 3,180,922,384.86/66,757.80
  6. Step 6: Final answer
    x = 47,648.70

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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.