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Finding the Fourth Proportional to 33,152.46, 49,644.21 and 32,167.50

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Solution

The fourth proportional to 33,152.46, 49,644.21 and 32,167.50 is: 48,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.46 : 49,644.21 = 32,167.50 : x
  2. Step 2: Convert to fraction form
    33,152.46/49,644.21 = 32,167.50/x
  3. Step 3: Cross multiply
    33,152.46x = 49,644.21 × 32,167.50
  4. Step 4: Simplify right side
    33,152.46x = 1,596,930,125.18
  5. Step 5: Solve for x
    x = 1,596,930,125.18/33,152.46
  6. Step 6: Final answer
    x = 48,169.28

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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.