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Finding the Fourth Proportional to 36,932.96, 55,399.56 and 9,230.96

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Solution

The fourth proportional to 36,932.96, 55,399.56 and 9,230.96 is: 13,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,932.96 : 55,399.56 = 9,230.96 : x
  2. Step 2: Convert to fraction form
    36,932.96/55,399.56 = 9,230.96/x
  3. Step 3: Cross multiply
    36,932.96x = 55,399.56 × 9,230.96
  4. Step 4: Simplify right side
    36,932.96x = 511,391,122.38
  5. Step 5: Solve for x
    x = 511,391,122.38/36,932.96
  6. Step 6: Final answer
    x = 13,846.47

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1.5x scale

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.