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Finding the Fourth Proportional to 67,231.76, 100,881.66 and 27,817.16

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Solution

The fourth proportional to 67,231.76, 100,881.66 and 27,817.16 is: 41,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,231.76 : 100,881.66 = 27,817.16 : x
  2. Step 2: Convert to fraction form
    67,231.76/100,881.66 = 27,817.16/x
  3. Step 3: Cross multiply
    67,231.76x = 100,881.66 × 27,817.16
  4. Step 4: Simplify right side
    67,231.76x = 2,806,241,277.29
  5. Step 5: Solve for x
    x = 2,806,241,277.29/67,231.76
  6. Step 6: Final answer
    x = 41,739.82

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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.