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Finding the Fourth Proportional to 30,003.44, 41,404.02 and 16,576

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Solution

The fourth proportional to 30,003.44, 41,404.02 and 16,576 is: 22,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,003.44 : 41,404.02 = 16,576 : x
  2. Step 2: Convert to fraction form
    30,003.44/41,404.02 = 16,576/x
  3. Step 3: Cross multiply
    30,003.44x = 41,404.02 × 16,576
  4. Step 4: Simplify right side
    30,003.44x = 686,313,035.52
  5. Step 5: Solve for x
    x = 686,313,035.52/30,003.44
  6. Step 6: Final answer
    x = 22,874.48

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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.