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Finding the Fourth Proportional to 37,429, 51,652.12 and 20,662

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Solution

The fourth proportional to 37,429, 51,652.12 and 20,662 is: 28,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,429 : 51,652.12 = 20,662 : x
  2. Step 2: Convert to fraction form
    37,429/51,652.12 = 20,662/x
  3. Step 3: Cross multiply
    37,429x = 51,652.12 × 20,662
  4. Step 4: Simplify right side
    37,429x = 1,067,236,103.44
  5. Step 5: Solve for x
    x = 1,067,236,103.44/37,429
  6. Step 6: Final answer
    x = 28,513.62

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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.