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Finding the Fourth Proportional to 69,309.75, 103,975.84 and 27,166.98

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Solution

The fourth proportional to 69,309.75, 103,975.84 and 27,166.98 is: 40,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,309.75 : 103,975.84 = 27,166.98 : x
  2. Step 2: Convert to fraction form
    69,309.75/103,975.84 = 27,166.98/x
  3. Step 3: Cross multiply
    69,309.75x = 103,975.84 × 27,166.98
  4. Step 4: Simplify right side
    69,309.75x = 2,824,709,565.76
  5. Step 5: Solve for x
    x = 2,824,709,565.76/69,309.75
  6. Step 6: Final answer
    x = 40,754.87

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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.