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Finding the Fourth Proportional to 71,608.11, 107,412.21 and 27,224.61

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Solution

The fourth proportional to 71,608.11, 107,412.21 and 27,224.61 is: 40,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,608.11 : 107,412.21 = 27,224.61 : x
  2. Step 2: Convert to fraction form
    71,608.11/107,412.21 = 27,224.61/x
  3. Step 3: Cross multiply
    71,608.11x = 107,412.21 × 27,224.61
  4. Step 4: Simplify right side
    71,608.11x = 2,924,255,526.49
  5. Step 5: Solve for x
    x = 2,924,255,526.49/71,608.11
  6. Step 6: Final answer
    x = 40,836.93

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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.