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Finding the Fourth Proportional to 38,461.92, 57,694.24 and 19,736.88

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Solution

The fourth proportional to 38,461.92, 57,694.24 and 19,736.88 is: 29,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.92 : 57,694.24 = 19,736.88 : x
  2. Step 2: Convert to fraction form
    38,461.92/57,694.24 = 19,736.88/x
  3. Step 3: Cross multiply
    38,461.92x = 57,694.24 × 19,736.88
  4. Step 4: Simplify right side
    38,461.92x = 1,138,704,291.57
  5. Step 5: Solve for x
    x = 1,138,704,291.57/38,461.92
  6. Step 6: Final answer
    x = 29,606.02

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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.