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Finding the Fourth Proportional to 49,567, 68,402.94 and 27,211.48

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Solution

The fourth proportional to 49,567, 68,402.94 and 27,211.48 is: 37,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567 : 68,402.94 = 27,211.48 : x
  2. Step 2: Convert to fraction form
    49,567/68,402.94 = 27,211.48/x
  3. Step 3: Cross multiply
    49,567x = 68,402.94 × 27,211.48
  4. Step 4: Simplify right side
    49,567x = 1,861,345,233.75
  5. Step 5: Solve for x
    x = 1,861,345,233.75/49,567
  6. Step 6: Final answer
    x = 37,552.11

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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.