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Finding the Fourth Proportional to 27,899.64, 41,849.46 and 7,123.14

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Solution

The fourth proportional to 27,899.64, 41,849.46 and 7,123.14 is: 10,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.64 : 41,849.46 = 7,123.14 : x
  2. Step 2: Convert to fraction form
    27,899.64/41,849.46 = 7,123.14/x
  3. Step 3: Cross multiply
    27,899.64x = 41,849.46 × 7,123.14
  4. Step 4: Simplify right side
    27,899.64x = 298,099,562.50
  5. Step 5: Solve for x
    x = 298,099,562.50/27,899.64
  6. Step 6: Final answer
    x = 10,684.71

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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.