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Finding the Fourth Proportional to 41,143.87, 56,778.60 and 22,281

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Solution

The fourth proportional to 41,143.87, 56,778.60 and 22,281 is: 30,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,143.87 : 56,778.60 = 22,281 : x
  2. Step 2: Convert to fraction form
    41,143.87/56,778.60 = 22,281/x
  3. Step 3: Cross multiply
    41,143.87x = 56,778.60 × 22,281
  4. Step 4: Simplify right side
    41,143.87x = 1,265,083,986.60
  5. Step 5: Solve for x
    x = 1,265,083,986.60/41,143.87
  6. Step 6: Final answer
    x = 30,747.81

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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.