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Finding the Fourth Proportional to 41,147.14, 61,711.08 and 11,567.80

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Solution

The fourth proportional to 41,147.14, 61,711.08 and 11,567.80 is: 17,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,147.14 : 61,711.08 = 11,567.80 : x
  2. Step 2: Convert to fraction form
    41,147.14/61,711.08 = 11,567.80/x
  3. Step 3: Cross multiply
    41,147.14x = 61,711.08 × 11,567.80
  4. Step 4: Simplify right side
    41,147.14x = 713,861,431.22
  5. Step 5: Solve for x
    x = 713,861,431.22/41,147.14
  6. Step 6: Final answer
    x = 17,348.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.