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Finding the Fourth Proportional to 56,164.72, 84,174.16 and 22,846

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Solution

The fourth proportional to 56,164.72, 84,174.16 and 22,846 is: 34,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.72 : 84,174.16 = 22,846 : x
  2. Step 2: Convert to fraction form
    56,164.72/84,174.16 = 22,846/x
  3. Step 3: Cross multiply
    56,164.72x = 84,174.16 × 22,846
  4. Step 4: Simplify right side
    56,164.72x = 1,923,042,859.36
  5. Step 5: Solve for x
    x = 1,923,042,859.36/56,164.72
  6. Step 6: Final answer
    x = 34,239.34

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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.