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Finding the Fourth Proportional to 41,231, 61,846.90 and 10,066.26

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Solution

The fourth proportional to 41,231, 61,846.90 and 10,066.26 is: 15,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,231 : 61,846.90 = 10,066.26 : x
  2. Step 2: Convert to fraction form
    41,231/61,846.90 = 10,066.26/x
  3. Step 3: Cross multiply
    41,231x = 61,846.90 × 10,066.26
  4. Step 4: Simplify right side
    41,231x = 622,566,975.59
  5. Step 5: Solve for x
    x = 622,566,975.59/41,231
  6. Step 6: Final answer
    x = 15,099.49

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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.