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Finding the Fourth Proportional to 39,971.82, 55,167.84 and 38,200.38

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Solution

The fourth proportional to 39,971.82, 55,167.84 and 38,200.38 is: 52,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971.82 : 55,167.84 = 38,200.38 : x
  2. Step 2: Convert to fraction form
    39,971.82/55,167.84 = 38,200.38/x
  3. Step 3: Cross multiply
    39,971.82x = 55,167.84 × 38,200.38
  4. Step 4: Simplify right side
    39,971.82x = 2,107,432,451.78
  5. Step 5: Solve for x
    x = 2,107,432,451.78/39,971.82
  6. Step 6: Final answer
    x = 52,722.95

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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.