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Finding the Fourth Proportional to 49,190.51, 67,882.91 and 27,971.07

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Solution

The fourth proportional to 49,190.51, 67,882.91 and 27,971.07 is: 38,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,190.51 : 67,882.91 = 27,971.07 : x
  2. Step 2: Convert to fraction form
    49,190.51/67,882.91 = 27,971.07/x
  3. Step 3: Cross multiply
    49,190.51x = 67,882.91 × 27,971.07
  4. Step 4: Simplify right side
    49,190.51x = 1,898,757,487.56
  5. Step 5: Solve for x
    x = 1,898,757,487.56/49,190.51
  6. Step 6: Final answer
    x = 38,600.08

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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.