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Finding the Fourth Proportional to 34,186.72, 47,182 and 19,843.48

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Solution

The fourth proportional to 34,186.72, 47,182 and 19,843.48 is: 27,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.72 : 47,182 = 19,843.48 : x
  2. Step 2: Convert to fraction form
    34,186.72/47,182 = 19,843.48/x
  3. Step 3: Cross multiply
    34,186.72x = 47,182 × 19,843.48
  4. Step 4: Simplify right side
    34,186.72x = 936,255,073.36
  5. Step 5: Solve for x
    x = 936,255,073.36/34,186.72
  6. Step 6: Final answer
    x = 27,386.51

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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.