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Finding the Fourth Proportional to 41,260.71, 56,986.16 and 27,887.16

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Solution

The fourth proportional to 41,260.71, 56,986.16 and 27,887.16 is: 38,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,260.71 : 56,986.16 = 27,887.16 : x
  2. Step 2: Convert to fraction form
    41,260.71/56,986.16 = 27,887.16/x
  3. Step 3: Cross multiply
    41,260.71x = 56,986.16 × 27,887.16
  4. Step 4: Simplify right side
    41,260.71x = 1,589,182,022.27
  5. Step 5: Solve for x
    x = 1,589,182,022.27/41,260.71
  6. Step 6: Final answer
    x = 38,515.62

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Why These Related Problems?

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