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Finding the Fourth Proportional to 42,163.84, 58,183.81 and 23,299.75

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Solution

The fourth proportional to 42,163.84, 58,183.81 and 23,299.75 is: 32,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,163.84 : 58,183.81 = 23,299.75 : x
  2. Step 2: Convert to fraction form
    42,163.84/58,183.81 = 23,299.75/x
  3. Step 3: Cross multiply
    42,163.84x = 58,183.81 × 23,299.75
  4. Step 4: Simplify right side
    42,163.84x = 1,355,668,227.05
  5. Step 5: Solve for x
    x = 1,355,668,227.05/42,163.84
  6. Step 6: Final answer
    x = 32,152.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.