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Finding the Fourth Proportional to 68,402.90, 102,636.82 and 47,375.30

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Solution

The fourth proportional to 68,402.90, 102,636.82 and 47,375.30 is: 71,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402.90 : 102,636.82 = 47,375.30 : x
  2. Step 2: Convert to fraction form
    68,402.90/102,636.82 = 47,375.30/x
  3. Step 3: Cross multiply
    68,402.90x = 102,636.82 × 47,375.30
  4. Step 4: Simplify right side
    68,402.90x = 4,862,450,138.55
  5. Step 5: Solve for x
    x = 4,862,450,138.55/68,402.90
  6. Step 6: Final answer
    x = 71,085.44

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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.