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Finding the Fourth Proportional to 49,824, 68,757.12 and 27,468

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Solution

The fourth proportional to 49,824, 68,757.12 and 27,468 is: 37,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824 : 68,757.12 = 27,468 : x
  2. Step 2: Convert to fraction form
    49,824/68,757.12 = 27,468/x
  3. Step 3: Cross multiply
    49,824x = 68,757.12 × 27,468
  4. Step 4: Simplify right side
    49,824x = 1,888,620,572.16
  5. Step 5: Solve for x
    x = 1,888,620,572.16/49,824
  6. Step 6: Final answer
    x = 37,905.84

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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.