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Finding the Fourth Proportional to 41,170, 61,755 and 10,005.34

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Solution

The fourth proportional to 41,170, 61,755 and 10,005.34 is: 15,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,170 : 61,755 = 10,005.34 : x
  2. Step 2: Convert to fraction form
    41,170/61,755 = 10,005.34/x
  3. Step 3: Cross multiply
    41,170x = 61,755 × 10,005.34
  4. Step 4: Simplify right side
    41,170x = 617,879,771.70
  5. Step 5: Solve for x
    x = 617,879,771.70/41,170
  6. Step 6: Final answer
    x = 15,008.01

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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.