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Finding the Fourth Proportional to 38,472.52, 57,719.40 and 16,274.20

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Solution

The fourth proportional to 38,472.52, 57,719.40 and 16,274.20 is: 24,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472.52 : 57,719.40 = 16,274.20 : x
  2. Step 2: Convert to fraction form
    38,472.52/57,719.40 = 16,274.20/x
  3. Step 3: Cross multiply
    38,472.52x = 57,719.40 × 16,274.20
  4. Step 4: Simplify right side
    38,472.52x = 939,337,059.48
  5. Step 5: Solve for x
    x = 939,337,059.48/38,472.52
  6. Step 6: Final answer
    x = 24,415.79

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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.