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Finding the Fourth Proportional to 38,026.82, 52,403 and 27,396.38

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Solution

The fourth proportional to 38,026.82, 52,403 and 27,396.38 is: 37,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026.82 : 52,403 = 27,396.38 : x
  2. Step 2: Convert to fraction form
    38,026.82/52,403 = 27,396.38/x
  3. Step 3: Cross multiply
    38,026.82x = 52,403 × 27,396.38
  4. Step 4: Simplify right side
    38,026.82x = 1,435,652,501.14
  5. Step 5: Solve for x
    x = 1,435,652,501.14/38,026.82
  6. Step 6: Final answer
    x = 37,753.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.