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Finding the Fourth Proportional to 30,231.21, 45,346.92 and 9,171.43

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Solution

The fourth proportional to 30,231.21, 45,346.92 and 9,171.43 is: 13,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.21 : 45,346.92 = 9,171.43 : x
  2. Step 2: Convert to fraction form
    30,231.21/45,346.92 = 9,171.43/x
  3. Step 3: Cross multiply
    30,231.21x = 45,346.92 × 9,171.43
  4. Step 4: Simplify right side
    30,231.21x = 415,896,102.50
  5. Step 5: Solve for x
    x = 415,896,102.50/30,231.21
  6. Step 6: Final answer
    x = 13,757.18

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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.