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Finding the Fourth Proportional to 36,013.01, 49,698.09 and 20,098.13

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Solution

The fourth proportional to 36,013.01, 49,698.09 and 20,098.13 is: 27,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,013.01 : 49,698.09 = 20,098.13 : x
  2. Step 2: Convert to fraction form
    36,013.01/49,698.09 = 20,098.13/x
  3. Step 3: Cross multiply
    36,013.01x = 49,698.09 × 20,098.13
  4. Step 4: Simplify right side
    36,013.01x = 998,838,425.08
  5. Step 5: Solve for x
    x = 998,838,425.08/36,013.01
  6. Step 6: Final answer
    x = 27,735.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.