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Finding the Fourth Proportional to 37,652.10, 51,982.41 and 23,524.08

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Solution

The fourth proportional to 37,652.10, 51,982.41 and 23,524.08 is: 32,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652.10 : 51,982.41 = 23,524.08 : x
  2. Step 2: Convert to fraction form
    37,652.10/51,982.41 = 23,524.08/x
  3. Step 3: Cross multiply
    37,652.10x = 51,982.41 × 23,524.08
  4. Step 4: Simplify right side
    37,652.10x = 1,222,838,371.43
  5. Step 5: Solve for x
    x = 1,222,838,371.43/37,652.10
  6. Step 6: Final answer
    x = 32,477.30

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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.