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Finding the Fourth Proportional to 41,157.56, 56,797.38 and 22,294.76

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Solution

The fourth proportional to 41,157.56, 56,797.38 and 22,294.76 is: 30,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,157.56 : 56,797.38 = 22,294.76 : x
  2. Step 2: Convert to fraction form
    41,157.56/56,797.38 = 22,294.76/x
  3. Step 3: Cross multiply
    41,157.56x = 56,797.38 × 22,294.76
  4. Step 4: Simplify right side
    41,157.56x = 1,266,283,955.73
  5. Step 5: Solve for x
    x = 1,266,283,955.73/41,157.56
  6. Step 6: Final answer
    x = 30,766.74

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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.