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Finding the Fourth Proportional to 51,213.70, 76,824.15 and 29,037.70

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Solution

The fourth proportional to 51,213.70, 76,824.15 and 29,037.70 is: 43,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213.70 : 76,824.15 = 29,037.70 : x
  2. Step 2: Convert to fraction form
    51,213.70/76,824.15 = 29,037.70/x
  3. Step 3: Cross multiply
    51,213.70x = 76,824.15 × 29,037.70
  4. Step 4: Simplify right side
    51,213.70x = 2,230,796,620.46
  5. Step 5: Solve for x
    x = 2,230,796,620.46/51,213.70
  6. Step 6: Final answer
    x = 43,558.59

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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.