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Finding the Fourth Proportional to 38,129, 57,216.54 and 16,241

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Solution

The fourth proportional to 38,129, 57,216.54 and 16,241 is: 24,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,129 : 57,216.54 = 16,241 : x
  2. Step 2: Convert to fraction form
    38,129/57,216.54 = 16,241/x
  3. Step 3: Cross multiply
    38,129x = 57,216.54 × 16,241
  4. Step 4: Simplify right side
    38,129x = 929,253,826.14
  5. Step 5: Solve for x
    x = 929,253,826.14/38,129
  6. Step 6: Final answer
    x = 24,371.31

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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.