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Finding the Fourth Proportional to 75,835.89, 104,658.41 and 43,580.88

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Solution

The fourth proportional to 75,835.89, 104,658.41 and 43,580.88 is: 60,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.89 : 104,658.41 = 43,580.88 : x
  2. Step 2: Convert to fraction form
    75,835.89/104,658.41 = 43,580.88/x
  3. Step 3: Cross multiply
    75,835.89x = 104,658.41 × 43,580.88
  4. Step 4: Simplify right side
    75,835.89x = 4,561,105,716.15
  5. Step 5: Solve for x
    x = 4,561,105,716.15/75,835.89
  6. Step 6: Final answer
    x = 60,144.42

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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.