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Finding the Fourth Proportional to 41,105.76, 61,687.68 and 37,140

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Solution

The fourth proportional to 41,105.76, 61,687.68 and 37,140 is: 55,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.76 : 61,687.68 = 37,140 : x
  2. Step 2: Convert to fraction form
    41,105.76/61,687.68 = 37,140/x
  3. Step 3: Cross multiply
    41,105.76x = 61,687.68 × 37,140
  4. Step 4: Simplify right side
    41,105.76x = 2,291,080,435.20
  5. Step 5: Solve for x
    x = 2,291,080,435.20/41,105.76
  6. Step 6: Final answer
    x = 55,736.24

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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.