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Finding the Fourth Proportional to 41,241.60, 61,865.64 and 11,658.96

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Solution

The fourth proportional to 41,241.60, 61,865.64 and 11,658.96 is: 17,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,241.60 : 61,865.64 = 11,658.96 : x
  2. Step 2: Convert to fraction form
    41,241.60/61,865.64 = 11,658.96/x
  3. Step 3: Cross multiply
    41,241.60x = 61,865.64 × 11,658.96
  4. Step 4: Simplify right side
    41,241.60x = 721,289,022.13
  5. Step 5: Solve for x
    x = 721,289,022.13/41,241.60
  6. Step 6: Final answer
    x = 17,489.36

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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.