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Finding the Fourth Proportional to 82,652, 123,982.32 and 27,248

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Solution

The fourth proportional to 82,652, 123,982.32 and 27,248 is: 40,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652 : 123,982.32 = 27,248 : x
  2. Step 2: Convert to fraction form
    82,652/123,982.32 = 27,248/x
  3. Step 3: Cross multiply
    82,652x = 123,982.32 × 27,248
  4. Step 4: Simplify right side
    82,652x = 3,378,270,255.36
  5. Step 5: Solve for x
    x = 3,378,270,255.36/82,652
  6. Step 6: Final answer
    x = 40,873.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.