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Finding the Fourth Proportional to 71,625.28, 107,274.42 and 34,211.73

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Solution

The fourth proportional to 71,625.28, 107,274.42 and 34,211.73 is: 51,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,625.28 : 107,274.42 = 34,211.73 : x
  2. Step 2: Convert to fraction form
    71,625.28/107,274.42 = 34,211.73/x
  3. Step 3: Cross multiply
    71,625.28x = 107,274.42 × 34,211.73
  4. Step 4: Simplify right side
    71,625.28x = 3,670,043,492.95
  5. Step 5: Solve for x
    x = 3,670,043,492.95/71,625.28
  6. Step 6: Final answer
    x = 51,239.50

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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.