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Finding the Fourth Proportional to 89,137.18, 133,688.49 and 33,737.50

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Solution

The fourth proportional to 89,137.18, 133,688.49 and 33,737.50 is: 50,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,137.18 : 133,688.49 = 33,737.50 : x
  2. Step 2: Convert to fraction form
    89,137.18/133,688.49 = 33,737.50/x
  3. Step 3: Cross multiply
    89,137.18x = 133,688.49 × 33,737.50
  4. Step 4: Simplify right side
    89,137.18x = 4,510,315,431.38
  5. Step 5: Solve for x
    x = 4,510,315,431.38/89,137.18
  6. Step 6: Final answer
    x = 50,599.71

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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.