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Finding the Fourth Proportional to 71,906.30, 107,842.17 and 36,827.90

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Solution

The fourth proportional to 71,906.30, 107,842.17 and 36,827.90 is: 55,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,906.30 : 107,842.17 = 36,827.90 : x
  2. Step 2: Convert to fraction form
    71,906.30/107,842.17 = 36,827.90/x
  3. Step 3: Cross multiply
    71,906.30x = 107,842.17 × 36,827.90
  4. Step 4: Simplify right side
    71,906.30x = 3,971,600,652.54
  5. Step 5: Solve for x
    x = 3,971,600,652.54/71,906.30
  6. Step 6: Final answer
    x = 55,233.00

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Why These Related Problems?

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