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Finding the Fourth Proportional to 41,107.94, 61,661.94 and 9,943.22

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Solution

The fourth proportional to 41,107.94, 61,661.94 and 9,943.22 is: 14,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,107.94 : 61,661.94 = 9,943.22 : x
  2. Step 2: Convert to fraction form
    41,107.94/61,661.94 = 9,943.22/x
  3. Step 3: Cross multiply
    41,107.94x = 61,661.94 × 9,943.22
  4. Step 4: Simplify right side
    41,107.94x = 613,117,926.74
  5. Step 5: Solve for x
    x = 613,117,926.74/41,107.94
  6. Step 6: Final answer
    x = 14,914.83

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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.