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Finding the Fourth Proportional to 51,722, 71,376.36 and 28,170

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Solution

The fourth proportional to 51,722, 71,376.36 and 28,170 is: 38,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722 : 71,376.36 = 28,170 : x
  2. Step 2: Convert to fraction form
    51,722/71,376.36 = 28,170/x
  3. Step 3: Cross multiply
    51,722x = 71,376.36 × 28,170
  4. Step 4: Simplify right side
    51,722x = 2,010,672,061.20
  5. Step 5: Solve for x
    x = 2,010,672,061.20/51,722
  6. Step 6: Final answer
    x = 38,874.60

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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.