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Finding the Fourth Proportional to 30,358.72, 45,538.09 and 8,171.53

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Solution

The fourth proportional to 30,358.72, 45,538.09 and 8,171.53 is: 12,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358.72 : 45,538.09 = 8,171.53 : x
  2. Step 2: Convert to fraction form
    30,358.72/45,538.09 = 8,171.53/x
  3. Step 3: Cross multiply
    30,358.72x = 45,538.09 × 8,171.53
  4. Step 4: Simplify right side
    30,358.72x = 372,115,734.30
  5. Step 5: Solve for x
    x = 372,115,734.30/30,358.72
  6. Step 6: Final answer
    x = 12,257.29

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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.