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Finding the Fourth Proportional to 31,090.56, 42,675.42 and 27,658.20

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Solution

The fourth proportional to 31,090.56, 42,675.42 and 27,658.20 is: 37,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.56 : 42,675.42 = 27,658.20 : x
  2. Step 2: Convert to fraction form
    31,090.56/42,675.42 = 27,658.20/x
  3. Step 3: Cross multiply
    31,090.56x = 42,675.42 × 27,658.20
  4. Step 4: Simplify right side
    31,090.56x = 1,180,325,301.44
  5. Step 5: Solve for x
    x = 1,180,325,301.44/31,090.56
  6. Step 6: Final answer
    x = 37,964.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.