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Finding the Fourth Proportional to 49,746, 68,649.48 and 27,390

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Solution

The fourth proportional to 49,746, 68,649.48 and 27,390 is: 37,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,746 : 68,649.48 = 27,390 : x
  2. Step 2: Convert to fraction form
    49,746/68,649.48 = 27,390/x
  3. Step 3: Cross multiply
    49,746x = 68,649.48 × 27,390
  4. Step 4: Simplify right side
    49,746x = 1,880,309,257.20
  5. Step 5: Solve for x
    x = 1,880,309,257.20/49,746
  6. Step 6: Final answer
    x = 37,798.20

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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.