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Finding the Fourth Proportional to 41,163.87, 56,806.20 and 22,301

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Solution

The fourth proportional to 41,163.87, 56,806.20 and 22,301 is: 30,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,163.87 : 56,806.20 = 22,301 : x
  2. Step 2: Convert to fraction form
    41,163.87/56,806.20 = 22,301/x
  3. Step 3: Cross multiply
    41,163.87x = 56,806.20 × 22,301
  4. Step 4: Simplify right side
    41,163.87x = 1,266,835,066.20
  5. Step 5: Solve for x
    x = 1,266,835,066.20/41,163.87
  6. Step 6: Final answer
    x = 30,775.41

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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.