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Finding the Fourth Proportional to 89,136.68, 133,687.74 and 33,737

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Solution

The fourth proportional to 89,136.68, 133,687.74 and 33,737 is: 50,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,136.68 : 133,687.74 = 33,737 : x
  2. Step 2: Convert to fraction form
    89,136.68/133,687.74 = 33,737/x
  3. Step 3: Cross multiply
    89,136.68x = 133,687.74 × 33,737
  4. Step 4: Simplify right side
    89,136.68x = 4,510,223,284.38
  5. Step 5: Solve for x
    x = 4,510,223,284.38/89,136.68
  6. Step 6: Final answer
    x = 50,598.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.