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Finding the Fourth Proportional to 45,349, 68,027.42 and 12,517

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Solution

The fourth proportional to 45,349, 68,027.42 and 12,517 is: 18,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349 : 68,027.42 = 12,517 : x
  2. Step 2: Convert to fraction form
    45,349/68,027.42 = 12,517/x
  3. Step 3: Cross multiply
    45,349x = 68,027.42 × 12,517
  4. Step 4: Simplify right side
    45,349x = 851,499,216.14
  5. Step 5: Solve for x
    x = 851,499,216.14/45,349
  6. Step 6: Final answer
    x = 18,776.58

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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.