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Finding the Fourth Proportional to 35,962.97, 49,628.45 and 20,047.38

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Solution

The fourth proportional to 35,962.97, 49,628.45 and 20,047.38 is: 27,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,962.97 : 49,628.45 = 20,047.38 : x
  2. Step 2: Convert to fraction form
    35,962.97/49,628.45 = 20,047.38/x
  3. Step 3: Cross multiply
    35,962.97x = 49,628.45 × 20,047.38
  4. Step 4: Simplify right side
    35,962.97x = 994,920,295.72
  5. Step 5: Solve for x
    x = 994,920,295.72/35,962.97
  6. Step 6: Final answer
    x = 27,665.14

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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.