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Finding the Fourth Proportional to 27,812.16, 41,716.96 and 8,090.24

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Solution

The fourth proportional to 27,812.16, 41,716.96 and 8,090.24 is: 12,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.16 : 41,716.96 = 8,090.24 : x
  2. Step 2: Convert to fraction form
    27,812.16/41,716.96 = 8,090.24/x
  3. Step 3: Cross multiply
    27,812.16x = 41,716.96 × 8,090.24
  4. Step 4: Simplify right side
    27,812.16x = 337,500,218.47
  5. Step 5: Solve for x
    x = 337,500,218.47/27,812.16
  6. Step 6: Final answer
    x = 12,134.99

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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.