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Finding the Fourth Proportional to 38,566, 57,826.86 and 15,179.68

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Solution

The fourth proportional to 38,566, 57,826.86 and 15,179.68 is: 22,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566 : 57,826.86 = 15,179.68 : x
  2. Step 2: Convert to fraction form
    38,566/57,826.86 = 15,179.68/x
  3. Step 3: Cross multiply
    38,566x = 57,826.86 × 15,179.68
  4. Step 4: Simplify right side
    38,566x = 877,793,230.20
  5. Step 5: Solve for x
    x = 877,793,230.20/38,566
  6. Step 6: Final answer
    x = 22,760.81

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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.