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Finding the Fourth Proportional to 36,546.98, 54,822.02 and 11,588.83

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Solution

The fourth proportional to 36,546.98, 54,822.02 and 11,588.83 is: 17,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.98 : 54,822.02 = 11,588.83 : x
  2. Step 2: Convert to fraction form
    36,546.98/54,822.02 = 11,588.83/x
  3. Step 3: Cross multiply
    36,546.98x = 54,822.02 × 11,588.83
  4. Step 4: Simplify right side
    36,546.98x = 635,322,875.04
  5. Step 5: Solve for x
    x = 635,322,875.04/36,546.98
  6. Step 6: Final answer
    x = 17,383.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.