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Finding the Fourth Proportional to 40,214.20, 55,494.84 and 22,065

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Solution

The fourth proportional to 40,214.20, 55,494.84 and 22,065 is: 30,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214.20 : 55,494.84 = 22,065 : x
  2. Step 2: Convert to fraction form
    40,214.20/55,494.84 = 22,065/x
  3. Step 3: Cross multiply
    40,214.20x = 55,494.84 × 22,065
  4. Step 4: Simplify right side
    40,214.20x = 1,224,493,644.60
  5. Step 5: Solve for x
    x = 1,224,493,644.60/40,214.20
  6. Step 6: Final answer
    x = 30,449.29

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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.