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Finding the Fourth Proportional to 40,209.16, 55,517.40 and 26,812

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Solution

The fourth proportional to 40,209.16, 55,517.40 and 26,812 is: 37,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,209.16 : 55,517.40 = 26,812 : x
  2. Step 2: Convert to fraction form
    40,209.16/55,517.40 = 26,812/x
  3. Step 3: Cross multiply
    40,209.16x = 55,517.40 × 26,812
  4. Step 4: Simplify right side
    40,209.16x = 1,488,532,528.80
  5. Step 5: Solve for x
    x = 1,488,532,528.80/40,209.16
  6. Step 6: Final answer
    x = 37,019.74

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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.