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Finding the Fourth Proportional to 41,111.40, 61,667.09 and 9,946.65

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Solution

The fourth proportional to 41,111.40, 61,667.09 and 9,946.65 is: 14,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,111.40 : 61,667.09 = 9,946.65 : x
  2. Step 2: Convert to fraction form
    41,111.40/61,667.09 = 9,946.65/x
  3. Step 3: Cross multiply
    41,111.40x = 61,667.09 × 9,946.65
  4. Step 4: Simplify right side
    41,111.40x = 613,380,911.02
  5. Step 5: Solve for x
    x = 613,380,911.02/41,111.40
  6. Step 6: Final answer
    x = 14,919.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.