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Finding the Fourth Proportional to 41,517, 62,276.04 and 13,815

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Solution

The fourth proportional to 41,517, 62,276.04 and 13,815 is: 20,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,517 : 62,276.04 = 13,815 : x
  2. Step 2: Convert to fraction form
    41,517/62,276.04 = 13,815/x
  3. Step 3: Cross multiply
    41,517x = 62,276.04 × 13,815
  4. Step 4: Simplify right side
    41,517x = 860,343,492.60
  5. Step 5: Solve for x
    x = 860,343,492.60/41,517
  6. Step 6: Final answer
    x = 20,722.68

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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.