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Finding the Fourth Proportional to 67,409.67, 101,118.96 and 27,969.96

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Solution

The fourth proportional to 67,409.67, 101,118.96 and 27,969.96 is: 41,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,409.67 : 101,118.96 = 27,969.96 : x
  2. Step 2: Convert to fraction form
    67,409.67/101,118.96 = 27,969.96/x
  3. Step 3: Cross multiply
    67,409.67x = 101,118.96 × 27,969.96
  4. Step 4: Simplify right side
    67,409.67x = 2,828,293,266.44
  5. Step 5: Solve for x
    x = 2,828,293,266.44/67,409.67
  6. Step 6: Final answer
    x = 41,956.79

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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.