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Finding the Fourth Proportional to 36,582, 50,483.18 and 19,815

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Solution

The fourth proportional to 36,582, 50,483.18 and 19,815 is: 27,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582 : 50,483.18 = 19,815 : x
  2. Step 2: Convert to fraction form
    36,582/50,483.18 = 19,815/x
  3. Step 3: Cross multiply
    36,582x = 50,483.18 × 19,815
  4. Step 4: Simplify right side
    36,582x = 1,000,324,211.70
  5. Step 5: Solve for x
    x = 1,000,324,211.70/36,582
  6. Step 6: Final answer
    x = 27,344.71

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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.