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Finding the Fourth Proportional to 72,195.14, 108,311.16 and 27,809.98

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Solution

The fourth proportional to 72,195.14, 108,311.16 and 27,809.98 is: 41,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,195.14 : 108,311.16 = 27,809.98 : x
  2. Step 2: Convert to fraction form
    72,195.14/108,311.16 = 27,809.98/x
  3. Step 3: Cross multiply
    72,195.14x = 108,311.16 × 27,809.98
  4. Step 4: Simplify right side
    72,195.14x = 3,012,131,193.38
  5. Step 5: Solve for x
    x = 3,012,131,193.38/72,195.14
  6. Step 6: Final answer
    x = 41,722.08

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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.