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Finding the Fourth Proportional to 32,890.65, 49,327.87 and 9,512.43

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Solution

The fourth proportional to 32,890.65, 49,327.87 and 9,512.43 is: 14,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,890.65 : 49,327.87 = 9,512.43 : x
  2. Step 2: Convert to fraction form
    32,890.65/49,327.87 = 9,512.43/x
  3. Step 3: Cross multiply
    32,890.65x = 49,327.87 × 9,512.43
  4. Step 4: Simplify right side
    32,890.65x = 469,227,910.42
  5. Step 5: Solve for x
    x = 469,227,910.42/32,890.65
  6. Step 6: Final answer
    x = 14,266.30

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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.