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Finding the Fourth Proportional to 57,691.34, 79,614 and 32,540.84

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Solution

The fourth proportional to 57,691.34, 79,614 and 32,540.84 is: 44,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.34 : 79,614 = 32,540.84 : x
  2. Step 2: Convert to fraction form
    57,691.34/79,614 = 32,540.84/x
  3. Step 3: Cross multiply
    57,691.34x = 79,614 × 32,540.84
  4. Step 4: Simplify right side
    57,691.34x = 2,590,706,037.69
  5. Step 5: Solve for x
    x = 2,590,706,037.69/57,691.34
  6. Step 6: Final answer
    x = 44,906.33

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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.