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Finding the Fourth Proportional to 41,282.28, 56,986.98 and 27,871.70

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Solution

The fourth proportional to 41,282.28, 56,986.98 and 27,871.70 is: 38,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,282.28 : 56,986.98 = 27,871.70 : x
  2. Step 2: Convert to fraction form
    41,282.28/56,986.98 = 27,871.70/x
  3. Step 3: Cross multiply
    41,282.28x = 56,986.98 × 27,871.70
  4. Step 4: Simplify right side
    41,282.28x = 1,588,323,586.17
  5. Step 5: Solve for x
    x = 1,588,323,586.17/41,282.28
  6. Step 6: Final answer
    x = 38,474.71

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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.