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Finding the Fourth Proportional to 27,892.92, 41,839.42 and 19,609.98

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Solution

The fourth proportional to 27,892.92, 41,839.42 and 19,609.98 is: 29,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.92 : 41,839.42 = 19,609.98 : x
  2. Step 2: Convert to fraction form
    27,892.92/41,839.42 = 19,609.98/x
  3. Step 3: Cross multiply
    27,892.92x = 41,839.42 × 19,609.98
  4. Step 4: Simplify right side
    27,892.92x = 820,470,189.41
  5. Step 5: Solve for x
    x = 820,470,189.41/27,892.92
  6. Step 6: Final answer
    x = 29,415.00

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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.