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Finding the Fourth Proportional to 36,178.39, 49,926.56 and 20,046.20

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Solution

The fourth proportional to 36,178.39, 49,926.56 and 20,046.20 is: 27,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.39 : 49,926.56 = 20,046.20 : x
  2. Step 2: Convert to fraction form
    36,178.39/49,926.56 = 20,046.20/x
  3. Step 3: Cross multiply
    36,178.39x = 49,926.56 × 20,046.20
  4. Step 4: Simplify right side
    36,178.39x = 1,000,837,807.07
  5. Step 5: Solve for x
    x = 1,000,837,807.07/36,178.39
  6. Step 6: Final answer
    x = 27,663.97

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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.