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Finding the Fourth Proportional to 30,231.33, 45,347.10 and 9,171.56

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Solution

The fourth proportional to 30,231.33, 45,347.10 and 9,171.56 is: 13,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.33 : 45,347.10 = 9,171.56 : x
  2. Step 2: Convert to fraction form
    30,231.33/45,347.10 = 9,171.56/x
  3. Step 3: Cross multiply
    30,231.33x = 45,347.10 × 9,171.56
  4. Step 4: Simplify right side
    30,231.33x = 415,903,648.48
  5. Step 5: Solve for x
    x = 415,903,648.48/30,231.33
  6. Step 6: Final answer
    x = 13,757.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.