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Finding the Fourth Proportional to 27,477.76, 41,169.56 and 18,454.96

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Solution

The fourth proportional to 27,477.76, 41,169.56 and 18,454.96 is: 27,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.76 : 41,169.56 = 18,454.96 : x
  2. Step 2: Convert to fraction form
    27,477.76/41,169.56 = 18,454.96/x
  3. Step 3: Cross multiply
    27,477.76x = 41,169.56 × 18,454.96
  4. Step 4: Simplify right side
    27,477.76x = 759,782,583.02
  5. Step 5: Solve for x
    x = 759,782,583.02/27,477.76
  6. Step 6: Final answer
    x = 27,650.82

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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.