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Finding the Fourth Proportional to 42,195.49, 58,206.78 and 27,090.44

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Solution

The fourth proportional to 42,195.49, 58,206.78 and 27,090.44 is: 37,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,195.49 : 58,206.78 = 27,090.44 : x
  2. Step 2: Convert to fraction form
    42,195.49/58,206.78 = 27,090.44/x
  3. Step 3: Cross multiply
    42,195.49x = 58,206.78 × 27,090.44
  4. Step 4: Simplify right side
    42,195.49x = 1,576,847,050.38
  5. Step 5: Solve for x
    x = 1,576,847,050.38/42,195.49
  6. Step 6: Final answer
    x = 37,370.04

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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.