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Finding the Fourth Proportional to 275,429.05, 413,096.09 and 73,026.59

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Solution

The fourth proportional to 275,429.05, 413,096.09 and 73,026.59 is: 109,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.05 : 413,096.09 = 73,026.59 : x
  2. Step 2: Convert to fraction form
    275,429.05/413,096.09 = 73,026.59/x
  3. Step 3: Cross multiply
    275,429.05x = 413,096.09 × 73,026.59
  4. Step 4: Simplify right side
    275,429.05x = 30,166,996,364.42
  5. Step 5: Solve for x
    x = 30,166,996,364.42/275,429.05
  6. Step 6: Final answer
    x = 109,527.29

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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.