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Finding the Fourth Proportional to 34,714, 47,991.72 and 33,245.20

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Solution

The fourth proportional to 34,714, 47,991.72 and 33,245.20 is: 45,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714 : 47,991.72 = 33,245.20 : x
  2. Step 2: Convert to fraction form
    34,714/47,991.72 = 33,245.20/x
  3. Step 3: Cross multiply
    34,714x = 47,991.72 × 33,245.20
  4. Step 4: Simplify right side
    34,714x = 1,595,494,329.74
  5. Step 5: Solve for x
    x = 1,595,494,329.74/34,714
  6. Step 6: Final answer
    x = 45,961.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.