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Finding the Fourth Proportional to 67,284, 92,851.92 and 37,476

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Solution

The fourth proportional to 67,284, 92,851.92 and 37,476 is: 51,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 92,851.92 = 37,476 : x
  2. Step 2: Convert to fraction form
    67,284/92,851.92 = 37,476/x
  3. Step 3: Cross multiply
    67,284x = 92,851.92 × 37,476
  4. Step 4: Simplify right side
    67,284x = 3,479,718,553.92
  5. Step 5: Solve for x
    x = 3,479,718,553.92/67,284
  6. Step 6: Final answer
    x = 51,716.88

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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.