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Finding the Fourth Proportional to 32,817.68, 49,214.36 and 11,754.44

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Solution

The fourth proportional to 32,817.68, 49,214.36 and 11,754.44 is: 17,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.68 : 49,214.36 = 11,754.44 : x
  2. Step 2: Convert to fraction form
    32,817.68/49,214.36 = 11,754.44/x
  3. Step 3: Cross multiply
    32,817.68x = 49,214.36 × 11,754.44
  4. Step 4: Simplify right side
    32,817.68x = 578,487,241.76
  5. Step 5: Solve for x
    x = 578,487,241.76/32,817.68
  6. Step 6: Final answer
    x = 17,627.30

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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.