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Finding the Fourth Proportional to 93,187.92, 139,778.56 and 30,857.84

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Solution

The fourth proportional to 93,187.92, 139,778.56 and 30,857.84 is: 46,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,187.92 : 139,778.56 = 30,857.84 : x
  2. Step 2: Convert to fraction form
    93,187.92/139,778.56 = 30,857.84/x
  3. Step 3: Cross multiply
    93,187.92x = 139,778.56 × 30,857.84
  4. Step 4: Simplify right side
    93,187.92x = 4,313,264,439.91
  5. Step 5: Solve for x
    x = 4,313,264,439.91/93,187.92
  6. Step 6: Final answer
    x = 46,285.66

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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.