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Finding the Fourth Proportional to 34,914, 48,181.32 and 20,010

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Solution

The fourth proportional to 34,914, 48,181.32 and 20,010 is: 27,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,914 : 48,181.32 = 20,010 : x
  2. Step 2: Convert to fraction form
    34,914/48,181.32 = 20,010/x
  3. Step 3: Cross multiply
    34,914x = 48,181.32 × 20,010
  4. Step 4: Simplify right side
    34,914x = 964,108,213.20
  5. Step 5: Solve for x
    x = 964,108,213.20/34,914
  6. Step 6: Final answer
    x = 27,613.80

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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.