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Finding the Fourth Proportional to 27,653.80, 41,475.90 and 10,114.60

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Solution

The fourth proportional to 27,653.80, 41,475.90 and 10,114.60 is: 15,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.80 : 41,475.90 = 10,114.60 : x
  2. Step 2: Convert to fraction form
    27,653.80/41,475.90 = 10,114.60/x
  3. Step 3: Cross multiply
    27,653.80x = 41,475.90 × 10,114.60
  4. Step 4: Simplify right side
    27,653.80x = 419,512,138.14
  5. Step 5: Solve for x
    x = 419,512,138.14/27,653.80
  6. Step 6: Final answer
    x = 15,170.14

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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.