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Finding the Fourth Proportional to 41,141.19, 61,711.99 and 9,976.44

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Solution

The fourth proportional to 41,141.19, 61,711.99 and 9,976.44 is: 14,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,141.19 : 61,711.99 = 9,976.44 : x
  2. Step 2: Convert to fraction form
    41,141.19/61,711.99 = 9,976.44/x
  3. Step 3: Cross multiply
    41,141.19x = 61,711.99 × 9,976.44
  4. Step 4: Simplify right side
    41,141.19x = 615,665,761.35
  5. Step 5: Solve for x
    x = 615,665,761.35/41,141.19
  6. Step 6: Final answer
    x = 14,964.71

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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.