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Finding the Fourth Proportional to 27,804.38, 41,601.92 and 19,500.60

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Solution

The fourth proportional to 27,804.38, 41,601.92 and 19,500.60 is: 29,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.38 : 41,601.92 = 19,500.60 : x
  2. Step 2: Convert to fraction form
    27,804.38/41,601.92 = 19,500.60/x
  3. Step 3: Cross multiply
    27,804.38x = 41,601.92 × 19,500.60
  4. Step 4: Simplify right side
    27,804.38x = 811,262,401.15
  5. Step 5: Solve for x
    x = 811,262,401.15/27,804.38
  6. Step 6: Final answer
    x = 29,177.50

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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.