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Finding the Fourth Proportional to 27,197.70, 40,795.52 and 7,475.75

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Solution

The fourth proportional to 27,197.70, 40,795.52 and 7,475.75 is: 11,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.70 : 40,795.52 = 7,475.75 : x
  2. Step 2: Convert to fraction form
    27,197.70/40,795.52 = 7,475.75/x
  3. Step 3: Cross multiply
    27,197.70x = 40,795.52 × 7,475.75
  4. Step 4: Simplify right side
    27,197.70x = 304,976,923.35
  5. Step 5: Solve for x
    x = 304,976,923.35/27,197.70
  6. Step 6: Final answer
    x = 11,213.34

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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.