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Finding the Fourth Proportional to 27,618.60, 41,429.34 and 7,900.05

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Solution

The fourth proportional to 27,618.60, 41,429.34 and 7,900.05 is: 11,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618.60 : 41,429.34 = 7,900.05 : x
  2. Step 2: Convert to fraction form
    27,618.60/41,429.34 = 7,900.05/x
  3. Step 3: Cross multiply
    27,618.60x = 41,429.34 × 7,900.05
  4. Step 4: Simplify right side
    27,618.60x = 327,293,857.47
  5. Step 5: Solve for x
    x = 327,293,857.47/27,618.60
  6. Step 6: Final answer
    x = 11,850.49

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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.