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Finding the Fourth Proportional to 51,006.76, 76,522.48 and 17,722

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Solution

The fourth proportional to 51,006.76, 76,522.48 and 17,722 is: 26,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006.76 : 76,522.48 = 17,722 : x
  2. Step 2: Convert to fraction form
    51,006.76/76,522.48 = 17,722/x
  3. Step 3: Cross multiply
    51,006.76x = 76,522.48 × 17,722
  4. Step 4: Simplify right side
    51,006.76x = 1,356,131,390.56
  5. Step 5: Solve for x
    x = 1,356,131,390.56/51,006.76
  6. Step 6: Final answer
    x = 26,587.29

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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.