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Finding the Fourth Proportional to 29,962.44, 44,949.44 and 11,493

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Solution

The fourth proportional to 29,962.44, 44,949.44 and 11,493 is: 17,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.44 : 44,949.44 = 11,493 : x
  2. Step 2: Convert to fraction form
    29,962.44/44,949.44 = 11,493/x
  3. Step 3: Cross multiply
    29,962.44x = 44,949.44 × 11,493
  4. Step 4: Simplify right side
    29,962.44x = 516,603,913.92
  5. Step 5: Solve for x
    x = 516,603,913.92/29,962.44
  6. Step 6: Final answer
    x = 17,241.72

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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.