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Finding the Fourth Proportional to 41,144.12, 61,706.56 and 11,564.80

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Solution

The fourth proportional to 41,144.12, 61,706.56 and 11,564.80 is: 17,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144.12 : 61,706.56 = 11,564.80 : x
  2. Step 2: Convert to fraction form
    41,144.12/61,706.56 = 11,564.80/x
  3. Step 3: Cross multiply
    41,144.12x = 61,706.56 × 11,564.80
  4. Step 4: Simplify right side
    41,144.12x = 713,624,025.09
  5. Step 5: Solve for x
    x = 713,624,025.09/41,144.12
  6. Step 6: Final answer
    x = 17,344.50

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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.