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Finding the Fourth Proportional to 68,207.67, 102,277.79 and 41,217.81

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Solution

The fourth proportional to 68,207.67, 102,277.79 and 41,217.81 is: 61,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,207.67 : 102,277.79 = 41,217.81 : x
  2. Step 2: Convert to fraction form
    68,207.67/102,277.79 = 41,217.81/x
  3. Step 3: Cross multiply
    68,207.67x = 102,277.79 × 41,217.81
  4. Step 4: Simplify right side
    68,207.67x = 4,215,666,655.69
  5. Step 5: Solve for x
    x = 4,215,666,655.69/68,207.67
  6. Step 6: Final answer
    x = 61,806.34

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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.