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Finding the Fourth Proportional to 27,980.38, 41,958.01 and 8,252.02

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Solution

The fourth proportional to 27,980.38, 41,958.01 and 8,252.02 is: 12,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.38 : 41,958.01 = 8,252.02 : x
  2. Step 2: Convert to fraction form
    27,980.38/41,958.01 = 8,252.02/x
  3. Step 3: Cross multiply
    27,980.38x = 41,958.01 × 8,252.02
  4. Step 4: Simplify right side
    27,980.38x = 346,238,337.68
  5. Step 5: Solve for x
    x = 346,238,337.68/27,980.38
  6. Step 6: Final answer
    x = 12,374.33

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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.