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Finding the Fourth Proportional to 82,029.33, 122,977.31 and 34,613.82

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Solution

The fourth proportional to 82,029.33, 122,977.31 and 34,613.82 is: 51,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029.33 : 122,977.31 = 34,613.82 : x
  2. Step 2: Convert to fraction form
    82,029.33/122,977.31 = 34,613.82/x
  3. Step 3: Cross multiply
    82,029.33x = 122,977.31 × 34,613.82
  4. Step 4: Simplify right side
    82,029.33x = 4,256,714,299.36
  5. Step 5: Solve for x
    x = 4,256,714,299.36/82,029.33
  6. Step 6: Final answer
    x = 51,892.59

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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.