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Finding the Fourth Proportional to 27,950.64, 41,931.10 and 9,231.94

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Solution

The fourth proportional to 27,950.64, 41,931.10 and 9,231.94 is: 13,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.64 : 41,931.10 = 9,231.94 : x
  2. Step 2: Convert to fraction form
    27,950.64/41,931.10 = 9,231.94/x
  3. Step 3: Cross multiply
    27,950.64x = 41,931.10 × 9,231.94
  4. Step 4: Simplify right side
    27,950.64x = 387,105,399.33
  5. Step 5: Solve for x
    x = 387,105,399.33/27,950.64
  6. Step 6: Final answer
    x = 13,849.61

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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.