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Finding the Fourth Proportional to 29,249.34, 40,358.16 and 17,314.41

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Solution

The fourth proportional to 29,249.34, 40,358.16 and 17,314.41 is: 23,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,249.34 : 40,358.16 = 17,314.41 : x
  2. Step 2: Convert to fraction form
    29,249.34/40,358.16 = 17,314.41/x
  3. Step 3: Cross multiply
    29,249.34x = 40,358.16 × 17,314.41
  4. Step 4: Simplify right side
    29,249.34x = 698,777,729.09
  5. Step 5: Solve for x
    x = 698,777,729.09/29,249.34
  6. Step 6: Final answer
    x = 23,890.38

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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.