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Finding the Fourth Proportional to 37,168.20, 51,291.90 and 20,172.78

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Solution

The fourth proportional to 37,168.20, 51,291.90 and 20,172.78 is: 27,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,168.20 : 51,291.90 = 20,172.78 : x
  2. Step 2: Convert to fraction form
    37,168.20/51,291.90 = 20,172.78/x
  3. Step 3: Cross multiply
    37,168.20x = 51,291.90 × 20,172.78
  4. Step 4: Simplify right side
    37,168.20x = 1,034,700,214.48
  5. Step 5: Solve for x
    x = 1,034,700,214.48/37,168.20
  6. Step 6: Final answer
    x = 27,838.32

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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.