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Finding the Fourth Proportional to 49,343.67, 68,090.15 and 27,832.23

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Solution

The fourth proportional to 49,343.67, 68,090.15 and 27,832.23 is: 38,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,343.67 : 68,090.15 = 27,832.23 : x
  2. Step 2: Convert to fraction form
    49,343.67/68,090.15 = 27,832.23/x
  3. Step 3: Cross multiply
    49,343.67x = 68,090.15 × 27,832.23
  4. Step 4: Simplify right side
    49,343.67x = 1,895,100,785.12
  5. Step 5: Solve for x
    x = 1,895,100,785.12/49,343.67
  6. Step 6: Final answer
    x = 38,406.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.