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Finding the Fourth Proportional to 32,950.75, 49,432.20 and 13,231.30

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Solution

The fourth proportional to 32,950.75, 49,432.20 and 13,231.30 is: 19,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.75 : 49,432.20 = 13,231.30 : x
  2. Step 2: Convert to fraction form
    32,950.75/49,432.20 = 13,231.30/x
  3. Step 3: Cross multiply
    32,950.75x = 49,432.20 × 13,231.30
  4. Step 4: Simplify right side
    32,950.75x = 654,052,267.86
  5. Step 5: Solve for x
    x = 654,052,267.86/32,950.75
  6. Step 6: Final answer
    x = 19,849.39

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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.