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Finding the Fourth Proportional to 41,292.15, 57,006.81 and 27,186

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Solution

The fourth proportional to 41,292.15, 57,006.81 and 27,186 is: 37,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,292.15 : 57,006.81 = 27,186 : x
  2. Step 2: Convert to fraction form
    41,292.15/57,006.81 = 27,186/x
  3. Step 3: Cross multiply
    41,292.15x = 57,006.81 × 27,186
  4. Step 4: Simplify right side
    41,292.15x = 1,549,787,136.66
  5. Step 5: Solve for x
    x = 1,549,787,136.66/41,292.15
  6. Step 6: Final answer
    x = 37,532.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.