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Finding the Fourth Proportional to 49,343.82, 68,090.07 and 27,835.14

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Solution

The fourth proportional to 49,343.82, 68,090.07 and 27,835.14 is: 38,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,343.82 : 68,090.07 = 27,835.14 : x
  2. Step 2: Convert to fraction form
    49,343.82/68,090.07 = 27,835.14/x
  3. Step 3: Cross multiply
    49,343.82x = 68,090.07 × 27,835.14
  4. Step 4: Simplify right side
    49,343.82x = 1,895,296,631.06
  5. Step 5: Solve for x
    x = 1,895,296,631.06/49,343.82
  6. Step 6: Final answer
    x = 38,410.01

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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.