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Finding the Fourth Proportional to 32,136.53, 48,191.47 and 12,142.56

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Solution

The fourth proportional to 32,136.53, 48,191.47 and 12,142.56 is: 18,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.53 : 48,191.47 = 12,142.56 : x
  2. Step 2: Convert to fraction form
    32,136.53/48,191.47 = 12,142.56/x
  3. Step 3: Cross multiply
    32,136.53x = 48,191.47 × 12,142.56
  4. Step 4: Simplify right side
    32,136.53x = 585,167,966.32
  5. Step 5: Solve for x
    x = 585,167,966.32/32,136.53
  6. Step 6: Final answer
    x = 18,208.81

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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.