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Finding the Fourth Proportional to 38,481.52, 57,732.90 and 16,283.20

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Solution

The fourth proportional to 38,481.52, 57,732.90 and 16,283.20 is: 24,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.52 : 57,732.90 = 16,283.20 : x
  2. Step 2: Convert to fraction form
    38,481.52/57,732.90 = 16,283.20/x
  3. Step 3: Cross multiply
    38,481.52x = 57,732.90 × 16,283.20
  4. Step 4: Simplify right side
    38,481.52x = 940,076,357.28
  5. Step 5: Solve for x
    x = 940,076,357.28/38,481.52
  6. Step 6: Final answer
    x = 24,429.29

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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.