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Finding the Fourth Proportional to 41,234, 61,851.42 and 10,069.26

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Solution

The fourth proportional to 41,234, 61,851.42 and 10,069.26 is: 15,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,234 : 61,851.42 = 10,069.26 : x
  2. Step 2: Convert to fraction form
    41,234/61,851.42 = 10,069.26/x
  3. Step 3: Cross multiply
    41,234x = 61,851.42 × 10,069.26
  4. Step 4: Simplify right side
    41,234x = 622,798,029.35
  5. Step 5: Solve for x
    x = 622,798,029.35/41,234
  6. Step 6: Final answer
    x = 15,103.99

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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.