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Finding the Fourth Proportional to 49,774, 68,688.12 and 27,418

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Solution

The fourth proportional to 49,774, 68,688.12 and 27,418 is: 37,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774 : 68,688.12 = 27,418 : x
  2. Step 2: Convert to fraction form
    49,774/68,688.12 = 27,418/x
  3. Step 3: Cross multiply
    49,774x = 68,688.12 × 27,418
  4. Step 4: Simplify right side
    49,774x = 1,883,290,874.16
  5. Step 5: Solve for x
    x = 1,883,290,874.16/49,774
  6. Step 6: Final answer
    x = 37,836.84

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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.