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Finding the Fourth Proportional to 27,475.30, 41,213.00 and 9,941.03

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Solution

The fourth proportional to 27,475.30, 41,213.00 and 9,941.03 is: 14,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.30 : 41,213.00 = 9,941.03 : x
  2. Step 2: Convert to fraction form
    27,475.30/41,213.00 = 9,941.03/x
  3. Step 3: Cross multiply
    27,475.30x = 41,213.00 × 9,941.03
  4. Step 4: Simplify right side
    27,475.30x = 409,699,642.73
  5. Step 5: Solve for x
    x = 409,699,642.73/27,475.30
  6. Step 6: Final answer
    x = 14,911.56

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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.