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Finding the Fourth Proportional to 35,962.38, 49,628.09 and 20,046.49

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Solution

The fourth proportional to 35,962.38, 49,628.09 and 20,046.49 is: 27,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,962.38 : 49,628.09 = 20,046.49 : x
  2. Step 2: Convert to fraction form
    35,962.38/49,628.09 = 20,046.49/x
  3. Step 3: Cross multiply
    35,962.38x = 49,628.09 × 20,046.49
  4. Step 4: Simplify right side
    35,962.38x = 994,868,935.95
  5. Step 5: Solve for x
    x = 994,868,935.95/35,962.38
  6. Step 6: Final answer
    x = 27,664.16

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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.