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Finding the Fourth Proportional to 36,043.66, 49,738.62 and 20,125

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Solution

The fourth proportional to 36,043.66, 49,738.62 and 20,125 is: 27,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,043.66 : 49,738.62 = 20,125 : x
  2. Step 2: Convert to fraction form
    36,043.66/49,738.62 = 20,125/x
  3. Step 3: Cross multiply
    36,043.66x = 49,738.62 × 20,125
  4. Step 4: Simplify right side
    36,043.66x = 1,000,989,727.50
  5. Step 5: Solve for x
    x = 1,000,989,727.50/36,043.66
  6. Step 6: Final answer
    x = 27,771.59

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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.