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Finding the Fourth Proportional to 95,476, 143,214 and 29,812

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Solution

The fourth proportional to 95,476, 143,214 and 29,812 is: 44,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,476 : 143,214 = 29,812 : x
  2. Step 2: Convert to fraction form
    95,476/143,214 = 29,812/x
  3. Step 3: Cross multiply
    95,476x = 143,214 × 29,812
  4. Step 4: Simplify right side
    95,476x = 4,269,495,768
  5. Step 5: Solve for x
    x = 4,269,495,768/95,476
  6. Step 6: Final answer
    x = 44,718

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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.