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Finding the Fourth Proportional to 32,876.68, 49,281 and 16,214.44

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Solution

The fourth proportional to 32,876.68, 49,281 and 16,214.44 is: 24,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.68 : 49,281 = 16,214.44 : x
  2. Step 2: Convert to fraction form
    32,876.68/49,281 = 16,214.44/x
  3. Step 3: Cross multiply
    32,876.68x = 49,281 × 16,214.44
  4. Step 4: Simplify right side
    32,876.68x = 799,063,817.64
  5. Step 5: Solve for x
    x = 799,063,817.64/32,876.68
  6. Step 6: Final answer
    x = 24,304.88

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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.