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Finding the Fourth Proportional to 29,648.34, 44,489.97 and 10,941.54

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Solution

The fourth proportional to 29,648.34, 44,489.97 and 10,941.54 is: 16,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648.34 : 44,489.97 = 10,941.54 : x
  2. Step 2: Convert to fraction form
    29,648.34/44,489.97 = 10,941.54/x
  3. Step 3: Cross multiply
    29,648.34x = 44,489.97 × 10,941.54
  4. Step 4: Simplify right side
    29,648.34x = 486,788,786.35
  5. Step 5: Solve for x
    x = 486,788,786.35/29,648.34
  6. Step 6: Final answer
    x = 16,418.75

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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.