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Finding the Fourth Proportional to 93,476, 140,214 and 27,812

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Solution

The fourth proportional to 93,476, 140,214 and 27,812 is: 41,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,476 : 140,214 = 27,812 : x
  2. Step 2: Convert to fraction form
    93,476/140,214 = 27,812/x
  3. Step 3: Cross multiply
    93,476x = 140,214 × 27,812
  4. Step 4: Simplify right side
    93,476x = 3,899,631,768
  5. Step 5: Solve for x
    x = 3,899,631,768/93,476
  6. Step 6: Final answer
    x = 41,718

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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.