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Finding the Fourth Proportional to 93,163.50, 139,747.68 and 30,834

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Solution

The fourth proportional to 93,163.50, 139,747.68 and 30,834 is: 46,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,163.50 : 139,747.68 = 30,834 : x
  2. Step 2: Convert to fraction form
    93,163.50/139,747.68 = 30,834/x
  3. Step 3: Cross multiply
    93,163.50x = 139,747.68 × 30,834
  4. Step 4: Simplify right side
    93,163.50x = 4,308,979,965.12
  5. Step 5: Solve for x
    x = 4,308,979,965.12/93,163.50
  6. Step 6: Final answer
    x = 46,251.80

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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.