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Finding the Fourth Proportional to 32,850.84, 49,276.26 and 14,136.60

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Solution

The fourth proportional to 32,850.84, 49,276.26 and 14,136.60 is: 21,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.84 : 49,276.26 = 14,136.60 : x
  2. Step 2: Convert to fraction form
    32,850.84/49,276.26 = 14,136.60/x
  3. Step 3: Cross multiply
    32,850.84x = 49,276.26 × 14,136.60
  4. Step 4: Simplify right side
    32,850.84x = 696,598,777.12
  5. Step 5: Solve for x
    x = 696,598,777.12/32,850.84
  6. Step 6: Final answer
    x = 21,204.90

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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.