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Finding the Fourth Proportional to 41,257.71, 56,982.02 and 27,884.16

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Solution

The fourth proportional to 41,257.71, 56,982.02 and 27,884.16 is: 38,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257.71 : 56,982.02 = 27,884.16 : x
  2. Step 2: Convert to fraction form
    41,257.71/56,982.02 = 27,884.16/x
  3. Step 3: Cross multiply
    41,257.71x = 56,982.02 × 27,884.16
  4. Step 4: Simplify right side
    41,257.71x = 1,588,895,623.38
  5. Step 5: Solve for x
    x = 1,588,895,623.38/41,257.71
  6. Step 6: Final answer
    x = 38,511.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.