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Finding the Fourth Proportional to 27,671.96, 41,510.52 and 11,027.96

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Solution

The fourth proportional to 27,671.96, 41,510.52 and 11,027.96 is: 16,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.96 : 41,510.52 = 11,027.96 : x
  2. Step 2: Convert to fraction form
    27,671.96/41,510.52 = 11,027.96/x
  3. Step 3: Cross multiply
    27,671.96x = 41,510.52 × 11,027.96
  4. Step 4: Simplify right side
    27,671.96x = 457,776,354.14
  5. Step 5: Solve for x
    x = 457,776,354.14/27,671.96
  6. Step 6: Final answer
    x = 16,542.97

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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.